Prof Mick Roberts B.Sc., M.Sc., Ph.D., FIMA, FRSNZ

Prof Mick Roberts staff profile picture

Professor

INMS & NZIAS

Telephone: +64 (09) 414 0800  ext. 43589
Email: 

Professional

Professional Biography

Professor in Mathematical Biology

Qualifications

  • B.Sc. - Bristol University (1971)
  • M.Sc. - Cranfield Institute of Technology (now Cranfield University) (1974)
  • Ph.D. - Victoria University of Wellington (1979)
  • Fellow of the Institute of Mathematics and its Applications - Institute of Mathematics and its Applications, UK. (1992)
  • Fellow of the Royal Society of New Zealand - The Royal Society of New Zealand (2008)

Research Expertise

Research Interests

To understand the epidemiology of infectious diseases and optimise strategies for their control, using modern methods of mathematical analysis and developing new methods as necessary.

Thematics

Health and Well-being

Area of Expertise

Field of Research Codes
Applied Mathematics (010200): Biological Mathematics (010202): Dynamical Systems in Applications (010204): Mathematical Sciences (010000)

Research Projects

Current Projects

Project Title: Predicting the epidemic curve

We aim to improve predictions of the shape of an epidemic curve, and of the proportion of a population infected in an outbreak of a novel infectious disease, by analysing how the contact structure of a host population determines the transmission of infection.
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Date Range: 2012 - 2015

Funding Body: Marsden Fund - Full

Project Team:

Completed Projects

Project Title: Modelling a virus

Viruses are a major cause of mortality in animals and humans. Viruses multiply and evolve within their hosts. A virus is in conflict with its host's immune system, and evolutionary `drift¿ can help it to evade the immune response. The host provides the environment for the virus, and transmission of a virus to a new host, even one of the same species, introduces it to a new environment and new selection pressures. The host¿s immune system `remembers¿ the viruses it has previously encountered, and can adapt somewhat to similar viruses. Recombination, usually where different host species are involved, can result in a `shift¿ and the emergence of a novel virus causing a pandemic. Mathematical models will describe the within-host evolution and between-host transmission of a virus. Thought experiments carried out on the models will reveal how the virus's characteristics and the hosts¿ immune systems determine how viruses spread. The models will be used to investigate how complicating factors, including the genetic differences between individual hosts, the geographical distribution of host populations, and the seasonal nature of epidemics influence how viruses evolve. The results obtained from the models will be compared with known patterns of transmission, particularly of HIV and influenza.
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Date Range: 2009 - 2012

Funding Body: Marsden Fund - Full

Project Team:

Research Outputs

Journal

Hickson, RI., & Roberts, MG. (2014). How population heterogeneity in susceptibility and infectivity influences epidemic dynamics. Journal of Theoretical Biology. 350, 70-80
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Heesterbeek, JAP. (2013). Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology. Journal of Mathematical Biology. 66(4-5), 1045-1064
[Journal article]Authored by: Roberts, M.

Roberts, MG. (2013). Epidemic models with uncertainty in the reproduction number. Journal of Mathematical Biology. 66(7), 1463-1474
[Journal article]Authored by: Roberts, M.

Roberts, MG. (2012). A two-strain epidemic model with uncertainty in the interaction. ANZIAM Journal. 54(1-2), 108-115
[Journal article]Authored by: Roberts, M.

Simpson, JL., & Roberts, MG. (2012). Modelling the effect of vaccination on the meningococcal b epidemic in new zealand. ANZIAM Journal. 54(1-2), 74-88
[Journal article]Authored by: Roberts, M.

Simpson, J., & Robert, M. (2012). Modelling heterogeneous host immune response in a multi-strain system. Journal of Theoretical Biology. 304, 60-65 Retrieved from http://www.sciencedirect.com/science/article/pii/S0022519312001233
[Journal article]Authored by: Roberts, M.
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James, A., Brown, R., Basse, B., Bourdot, GW., Lamoureaux, SL., Roberts, MG., . . . Saville, DJ. (2011). Application of a spatial meta-population model with stochastic parameters to the management of the invasive grass Nassella trichotoma in North Canterbury, New Zealand. Ecological Modelling. 222(4), 1030-1037 Retrieved from http://www.sciencedirect.com/science/article/pii/S030438001000640X
[Journal article]Authored by: Roberts, M.
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Roberts, MG., & Nishiura, H. (2011). Early estimation of the reproduction number in the presence of imported cases: Pandemic influenza H1N1-2009 in New Zealand. PLoS ONE. 6(5)
[Journal article]Authored by: Roberts, M.

Mann, J., & Roberts, M. (2011). Modelling the epidemiology of hepatitis B in New Zealand. Journal of Theoretical Biology. 269, 266-272
[Journal article]Authored by: Roberts, M.
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Diekmann, O., Heesterbeek, JAP., & Roberts, MG. (2010). The construction of next-generation matrices for compartmental epidemic models. Journal of the Royal Society Interface. 7(47), 873-885
[Journal article]Authored by: Roberts, M.

Elvin, AJ., Laing, CR., McLachlan, RI., & Roberts, MG. (2010). Exploiting the Hamiltonian structure of a neural field model. Physica D: Nonlinear Phenomena. 239(9), 537-546
[Journal article]Authored by: Laing, C., McLachlan, R., Roberts, M.

Fryer, HR., Frater, J., Duda, A., Roberts, MG., Phillips, RE., & McLean, AR. (2010). Modelling the evolution and spread of HIV immune escape mutants. PLoS Pathogens. 6(11)
[Journal article]Authored by: Roberts, M.

Nishiura, H., & Roberts, MG. (2010). Estimation of the reproduction number for 2009 pandemic influenza A(H1N1) in the presence of imported cases. Eurosurveillance. 15(29)
[Journal article]Authored by: Roberts, M.

Nishiura, H., Klinkenberg, D., Roberts, MG., & Heesterbeek, JAP. (2009). Early epidemiological assessment of the virulence of emerging infectious diseases: a case study of an influenza pandemic. PLoS One. 4(8), e6852
[Journal article]Authored by: Roberts, M.
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Elvin, AJ., Laing, CR., & Roberts, MG. (2009). Transient Turing patterns in a neural field model. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 79(1)
[Journal article]Authored by: Laing, C., Roberts, M.

Wilson, N., Baker, M., Jennings, L., Murdoch, D., Krause, K., Edwards, R., . . . Thornley, C. (2009). A design fault in New Zealand's health research funding system exposed by pandemic influenza. New Zealand Medical Journal. 122(1304), 121-122
[Journal article]Authored by: Douwes, J., Roberts, M.

Thornley, S., Bullen, C., & Roberts, MG. (2008). Hepatitis B in a high prevalence New Zealand population: A mathematical model applied to infection control policy. Journal of Theoretical Biology. 254(3), 599-603
[Journal article]Authored by: Roberts, M.

Elvin, AJ., Laing, CR., & Roberts, MG. (2007). Global bifurcation in a neural field model. Research Letters in Information and Mathematical Sciences. 12(Institute of Information and Mathematical Sciences, Post-Graduate Conference Proceedings), 8-15
[Journal article]Authored by: Roberts, M.

Mann, JL., & Roberts, MG. (2007). Mathematical modelling of hepatitis B virus. Research Letters in Information and Mathematical Sciences. 12(Institute of Information and Mathematical Sciences, Post-Graduate Conference Proceedings), 29-35
[Journal article]Authored by: Roberts, M.

Siddiqui, SQ., & Roberts, MG. (2007). Backward bifurcation in epidemic models. Research Letters in Information and Mathematical Sciences. 12(Institute of Information and Mathematical Sciences, Post-Graduate Conference Proceedings), 45-51
[Journal article]Authored by: Roberts, M.

Zhao, Y., & Roberts, MG. (2007). Simulating epidemics on networks. Research Letters in Information and Mathematical Sciences. 12(Institute of Information and Mathematical Sciences, Post-Graduate Conference Proceedings), 141-143
[Journal article]Authored by: Roberts, M.

Roberts, MG. (2007). The pluses and minuses of ℛ0. Journal of the Royal Society Interface. 4(16), 949-961
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Heesterbeek, JAP. (2007). Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection. Journal of Mathematical Biology. 55(5-6), 803-816
[Journal article]Authored by: Roberts, M.

Roberts, MG. (2007). The pluses and minuses of R₀. Journal of the Royal Society Interface. , 1-13
[Journal article]Authored by: Roberts, M.

Heesterbeek, JAP., & Roberts, MG. (2007). The type-reproduction number T in models for infectious disease control. Mathematical Biosciences. 206(1), 3-10
[Journal article]Authored by: Roberts, M.

Roberts, MG., Baker, M., Jennings, LC., Sertsou, G., & Wilson, N. (2007). A model for the spread and control of pandemic influenza in an isolated geographical region. Journal of the Royal Society Interface. 4(13), 325-330
[Journal article]Authored by: Roberts, M.

Sertsou, G., Wilson, N., Baker, M., Nelson, P., & Roberts, MG. (2006). Key transmission parameters of an institutional outbreak during the 1918 influenza pandemic estimated by mathematical modelling. THEORETICAL BIOLOGY AND MEDICAL MODELLING. 3,
[Journal article]Authored by: Roberts, M.
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Sertsou, G., Wilson, N., Baker, M., Nelson, P., & Roberts, MG. (2006). Key transmission parameters of an institutional outbreak during the 1918 influenza pandemic estimated by mathematical modelling. Theoretical Biology and Medical Modelling. 3
[Journal article]Authored by: Roberts, M.

Roberts, MG. (2006). Modeling strategies for containing an invading infection. Mathematical Population Studies. 13(4), 205-214
[Journal article]Authored by: Roberts, M.

Aldis, GK., & Roberts, MG. (2005). An integral equation model for the control of a smallpox outbreak. Mathematical Biosciences. 195(1), 1-22
[Journal article]Authored by: Roberts, M.

Mann, J., & Roberts, MG. (2004). Modelling repeated epidemics with general infection kernels. Research Letters in the Information and Mathematical Sciences. 6, 159-170
[Journal article]Authored by: Roberts, M.

Roberts, MG. (2004). Modelling strategies for minimizing the impact of an imported exotic infection. Proceedings of the Royal Society B: Biological Sciences. 271(1555), 2411-2415
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Heesterbeek, JAP. (2003). A new method for estimating the effort required to control an infectious disease. Proceedings of the Royal Society B: Biological Sciences. 270(1522), 1359-1364
[Journal article]Authored by: Roberts, M.

Fulford, GR., Roberts, MG., & Heesterbeek, JAP. (2002). The metapopulation dynamics of an infectious disease: tuberculosis in possums. Theoretical Population Biology. 61(1), 15-29
[Journal article]Authored by: Roberts, M.

Roberts, MG. (2002). Measles: a mathematician on the spot. New Zealand Science Review. 59, 89-92
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Tobias, MI. (2001). The use of multistate life-table models for improving population health. IMA Journal of Mathematics Applied in Medicine and Biology. 18(2), 119-130
[Journal article]Authored by: Roberts, M.

Thompson, RCA., & Roberts, MG. (2001). Does pet parasite prophylaxis increase the rate of selection for drug resistance?. Trends in Parasitology. 17(12), 576-578
[Journal article]Authored by: Roberts, M.

Tobias, MI., & Roberts, MG. (2001). Modelling physical activity: a multi-state life-table approach. Australian and New Zealand Journal of Public Health. 25, 141-148
[Journal article]Authored by: Roberts, M.

Kao, RR., Leathwick, DM., Roberts, MG., & Sutherland, IA. (2000). Nematode parasites of sheep: a survey of epidemiological parameters and their application in a simple model. Parasitology. 121, 85-103
[Journal article]Authored by: Roberts, M.

Roberts, MG. (2000). Can we prevent the next epidemic? The elimination of childhood diseases by mass vaccination. Journal of Applied Mathematics and Decision Science. 4(2), 175-182
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Tobias, MI. (2000). Predicting and preventing measles epidemics in New Zealand: Application of a mathematical model. Epidemiology and Infection. 124(2), 279-287
[Journal article]Authored by: Roberts, M.

Kao, RR., & Roberts, MG. (1999). A comparison of wildlife control and cattle vaccination as methods for the control of bovine tuberculosis. Epidemiology and Infection. 122, 505-519
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1999). A Kermack-McKendrick model applied to an infectious disease in a natural population. IMA Journal of Mathematics Applied in Medicine and Biology. 16(4), 319-332
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1999). The immunoepidemiology of nematode parasites of farmed animals: A mathematical approach. Parasitology Today. 15(6), 246-251
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Saha, AK. (1999). The asymptotic behaviour of a logistic epidemic model with stochastic disease transmission. Applied Mathematics Letters. 12(1), 37-41
[Journal article]Authored by: Roberts, M.

Kao, RR., & Roberts, MG. (1998). Quarantine-based disease control in domesticated animal herds. Applied Mathematics Letters. 11(4), 115-120
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Heesterbeek, JAP. (1998). A simple parasite model with complicated dynamics. Journal of Mathematical Biology. 37, 272-290
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Kao, RR. (1998). The dynamics of an infectious disease in a population with birth pulses. Mathematical Biosciences. 149, 23-36
[Journal article]Authored by: Roberts, M.

Kao, RR., Roberts, MG., & Ryan, TJ. (1997). A model of bovine tuberculosis control in domesticated cattle herds. Proceedings of the Royal Society, Series B. 264, 1069-1076
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1997). Persistent drugs and anthelmintic resistance. Part 2.. New Zealand Journal of Zoology. 24, 298
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1997). Mathematical biology in New Zealand. Biomathematics Newsletter. 16(16), 9-12
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1996). Bovine tuberculosis in possum populations, and its eradication or control by culling or vaccination. Journal of Animal Ecology. 65, 451-464.
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Jowett, J. (1996). An SEI model with density dependent demographics and epidemiology. IMA Journal of Mathematics Applied in Medicine and Biology. 13(4), 245-257
[Journal article]Authored by: Roberts, M.

Stankiewicz, M., Jowett, GH., Roberts, MG., Heath, DD., Cowan, P., Clark, JM., . . . Charleston, WAG. (1996). Internal and external parasites of possums (Trichosurus vulpecula) from forest and farmland, Wanganui, New Zealand. New Zealand Journal of Zoology. 23(4), 345-353
[Journal article]Authored by: Roberts, M.

Heesterbeek, JAP., & Roberts, MG. (1995). Threshold quantities for helminth infections. Journal of Mathematical Biology. 33, 415-434
[Journal article]Authored by: Roberts, M.

Heesterbeek, JAP., & Roberts, MG. (1995). Threshold quantities for infectious diseases in periodic environments. Journal of Biological Systems. 3, 779-787
[Journal article]Authored by: Roberts, M.

Jonas, WE., Roberts, MG., Fisher, MG., & Stankiewicz, M. (1995). Sarcocystis muris: Changes in the number of mice with sarcocysts and median number of cysts observed after a single oral dose of sporocysts. Acta Parasitologica. 40, 43-46
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1995). A pocket guide to host-parasite models. Parasitology Today. 11, 172-177
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1995). The dynamics of a microbial disease in a wild animal population. The New Zealand Statistician. 30, 89
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Aubert, MFA. (1995). A model for the control of Echinococcus multilocularis in France. Veterinary Parasitology. 56, 67-74
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Dobson, AP. (1995). The population dynamics of communities of parasitic helminths. Mathematical Biosciences. 126, 191-214
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Heesterbeek, JAP. (1995). The dynamics of nematode infections of farmed ruminants. Parasitology. 110, 493-502
[Journal article]Authored by: Roberts, M.

Dobson, AP., & Roberts, MG. (1994). The population dynamics of parasitic helminth communities. Parasitology. 109, S97-S108
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1994). Discussion in: Mollison,D., Isham,V. and Grenfell,B.T. Epidemics: Models and data.. Journal of the Royal Statistical Society, Series A. 157, 115-149
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1994). Modelling of parasitic populations: Cestodes. Veterinary Parasitology. 54, 145-160
[Journal article]Authored by: Roberts, M.

LOUIE, K., ROBERTS, MG., & WAKE, GC. (1994). THE REGULATION OF AN AGE-STRUCTURED POPULATION BY A FATAL DISEASE. IMA JOURNAL OF MATHEMATICS APPLIED IN MEDICINE AND BIOLOGY. 11(4), 229-244
[Journal article]Authored by: Roberts, M., Wake, G.
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Louie, K., Roberts, MG., & Wake, GC. (1994). The regulation of a dispersive age-structured population by a fatal disease. Applied Mathematics Letters. 7(4), 79-83
[Journal article]Authored by: Roberts, M., Wake, G.

Roberts, MG., & Heesterbeek, JAP. (1993). Bluff your way in epidemic models. Trends in Microbiology. 1, 343-348
[Journal article]Authored by: Roberts, M.

Louie, K., Roberts, MG., & Wake, GC. (1993). Thresholds and stability analysis of models for the spatial spread of a fatal disease. Mathematical Medicine and Biology. 10(3), 207-226
[Journal article]Authored by: Roberts, M., Wake, G.

Louie, K., Roberts, MG., & Wake, GC. (1993). Thresholds and stability analysis of models for the spatial spread of a fatal disease.. IMA Journal of Mathematics Applied in Medicine and Biology. 10(3), 207-226
[Journal article]Authored by: Roberts, M., Wake, G.

Roberts, MG. (1992). The dynamics and control of bovine tuberculosis in possums. IMA Journal of Mathematics Applied in Medicine and Biology. 9, 19-28
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Grenfell, BT. (1992). The population dynamics of nematode infections of ruminants: The effect of seasonality in the free-living stages. IMA Journal of Mathematics Applied in Medicine and Biology. 9, 29-41
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1991). Mathematical models for nematode parasites of ruminants. Parasitology Today. 7, 4
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Grenfell, BT. (1991). The population dynamics of nematode infections of ruminants: Periodic perturbations as a model for management. IMA Journal of Mathematics Applied in Medicine and Biology. 8, 83-93
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Tobias, MI. (1991). The short term prediction of AIDS incidence in New Zealand. The New Zealand Statistician. 26, 2-9
[Journal article]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., Roberts, MG., & Griffin, JFT. (1990). Population dynamics in echinococcosis and cysticercosis: Regulation of Taenia hydatigena and T.ovis in lambs through passively transferred immunity. Parasitology. 101, 145-151
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1990). A dynamic model for gastro-intestinal nematodes. Bulletin de la Societe Francaise de Parasitologie. 8(Supplt. 2), 821
[Journal article]Authored by: Roberts, M.

Roberts, MG., & Tobias, MI. (1989). Short term prediction of HIV infection and AIDS in New Zealand. The New Zealand Statistician. 25, 28
[Journal article]Authored by: Roberts, M.

Lawson, JR., Roberts, MG., Gemmell, MA., & Best, SJ. (1988). Population dynamics in echinococcosis and cysticercosis: Economic assessment of control strategies for Echinococcus granulosus, Taenia ovis and T.hydatigena. Parasitology. 97, 177-191
[Journal article]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., & Roberts, MG. (1987). Population dynamics in echinococcosis and cysticercosis: Evaluation of the biological parameters of Taenia hydatigena and T.ovis and comparison with those of Echinococcus granulosus. Parasitology. 94, 161-180
[Journal article]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., & Roberts, MG. (1987). Towards global control of cystic and alveolar hydatid diseases. Parasitology Today. 3, 144-151
[Journal article]Authored by: Roberts, M.

Kane, DW., Phillips, RA., & Roberts, MG. (1987). A model of diurnal liveweight variation in hoggets. New Zealand Journal of Experimental Agriculture. 15, 105-109
[Journal article]Authored by: Roberts, M.

Roberts, MG., Lawson, JR., & Gemmell, MA. (1987). Population dynamics in echinococcosis and cysticercosis: Mathematical model of the life cycles of Taenia hydatigena and T.ovis. Parasitology. 94, 181-197
[Journal article]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., & Roberts, MG. (1986). Population dynamics in echinococcosis and cysticercosis: Biological parameters of Echinococcus granulosus. Parasitology. 92, 599-620
[Journal article]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., & Roberts, MG. (1986). Control of echinicoccosis/hydatidosis: present status of world-wide progress. Bulletin of the World Health Organisation. 64, 333-339
[Journal article]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., & Roberts, MG. (1986). Lutte contre l'echinococcose/hydatidose: situation actuelle dans le monde. Bulletin of the World Health Organisation. 64, 625-631
[Journal article]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., Roberts, MG., Kerin, BR., & Mason, CJ. (1986). Population dynamics in echinococcosis and cysticercosis: Comparison of the response of Echinococcus granulosus and Taenia hydatigena and T.ovis to control. Parasitology. 93, 357-369
[Journal article]Authored by: Roberts, M.

Roberts, MG., Lawson, JR., & Gemmell, MA. (1986). Population dynamics in echinococcosis and cysticercosis: Mathematical model of the life cycle of Echinococcus granulosus. Parasitology. 92, 621-641
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1985). Stability in cyclic epidemic models. Journal of Mathematical Biology. 22, 303-311
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1985). Epidemiology and control of hydatidosis and cysticercosis. New Zealand Journal of Zoology. 12, 438
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1983). A model for parasite populations. Mathematics Chronicle. 12, 165-166
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1983). Hard sums and parasites. New Zealand Journal of Zoology. 10, 122
[Journal article]Authored by: Roberts, M.

Osborn, PJ., Heath, DD., & Roberts, MG. (1982). Vaccination of sheep against Taenia ovis. The response to various dose rates of antigens obtained by incubation of oncospheres in vitro. Research in Veterinary Science. 32, 351-353
[Journal article]Authored by: Roberts, M.

Roberts, MG. (1982). Stability in a two host epidemic model. Journal of Mathematical Biology. 14, 71-75
[Journal article]Authored by: Roberts, M.

Book

Roberts, MG., & Heesterbeek, JAP. (2004). Mathematical models in epidemiology. In JA. Filar (Ed.) Mathematical Models. Oxford: EOLSS Publishers Ltd.
[Chapter]Authored by: Roberts, M.

Cleaveland, S., Hess, GR., Dobson, AP., Laurenson, MK., McCallum, HI., Roberts, MG., . . . Woodroffe, R. (2002). The role of pathogens in biological conservation. In P. Hudson, A. Rizzoli, BT. Grenfell, JAP. Heesterbeek, & AP. Dobson (Eds.) The Ecology of Wildlife Diseases. (pp. 139 - 150). Oxford: Oxford University Press
[Chapter]Authored by: Roberts, M.

Hess, GR., Randolph, SE., Arneberg, P., Chemini, C., Furlanello, C., Harwood, J., . . . Swinton, J. (2002). Spatial aspects of disease dynamics. In P. Hudson, A. Rizzoli, BT. Grenfell, JAP. Heesterbeek, & AP. Dobson (Eds.) The Ecology of Wildlife Diseases. (pp. 102 - 118). Oxford: Oxford University Press
[Chapter]Authored by: Roberts, M.

Roberts, MG., Dobson, AP., Arneberg, P., de Leo, GA., Krecek, RC., Manfredi, MT., . . . Zaffaroni, E. (2002). Parasite community ecology and biodiversity. In P. Hudson, A. Rizzoli, BT. Grenfell, JAP. Heesterbeek, & AP. Dobson (Eds.) The Ecology of Wildlife Diseases. (pp. 63 - 82). Oxford: Oxford University Press
[Chapter]Authored by: Roberts, M.

Swinton, J., Woolhouse, MEJ., Begon, ME., Dobson, AP., Ferroglio, E., Grenfell, BT., . . . Wilson, K. (2002). Microparasite transmission and persistence. In P. Hudson, A. Rizzoli, BT. Grenfell, JAP. Heesterbeek, & AP. Dobson (Eds.) The Ecology of Wildlife Diseases. (pp. 83 - 101). Oxford: Oxford University Press
[Chapter]Authored by: Roberts, M.

Gemmell, MA., Roberts, MG., Beard, TC., Campano Diaz, S., Lawson, JR., & Nonnemaker, JM. (2001). Control of Echinococcus granulosus. In J. Eckert, MA. Gemmell, FX. Meslin, & ZS. Pawlowski (Eds.) WHO/OIE manual on echinococcosis in humans and animals: a public health problem of global concern. (pp. 195 - 204). Paris: World Organisation for Animal Health
[Chapter]Authored by: Roberts, M.

Gemmell, MA., Roberts, MG., Beard, TC., Campano Diaz, S., Lawson, JR., & Nonnemaker, JM. (2001). Formulating effective and cost-effective policies in the planning phase for permanent control of Echinococcus granulosus. In J. Eckert, MA. Gemmell, FX. Meslin, & ZS. Pawlowski (Eds.) WHO/OIE manual on echinococcosis in humans and animals: a public health problem of global concern. (pp. 209 - 219). Paris: World Organisation for Animal Health
[Chapter]Authored by: Roberts, M.

Gemmell, MA., Roberts, MG., Beard, TC., & Lawson, JR. (2001). Quantitative epidemiology and transmission dynamics with special reference to Echinococcus granulosus. In J. Eckert, MA. Gemmell, FX. Meslin, & ZS. Pawlowski (Eds.) WHO/OIE manual on echinococcosis in humans and animals: a public health problem of global concern. (pp. 143 - 156). Paris: World Organisation for Animal Health
[Chapter]Authored by: Roberts, M.

Heesterbeek, JAP., & Roberts, MG. (2000). Epidemic models, deterministic. In MH. Gail, & J. Benichou (Eds.) Encyclopedia of epidemiologic methods. (pp. 353 - 361). New York: Wiley
[Chapter]Authored by: Roberts, M.

Gemmell, MA., & Roberts, MG. (1998). Cystic echinococcosis (Echinococcus granulosus). In SR. Palmer, EJL. Soulsby, & DIH. Simpson (Eds.) Zoonoses: Biology, clinical practice, and public health control. (pp. 665 - 688). Oxford: Oxford University Press
[Chapter]Authored by: Roberts, M.

Heesterbeek, JAP., & Roberts, MG. (1998). Deterministic epidemic models. In P. Armitage, & T. Colton (Eds.) Encyclopedia of Biostatistics. (pp. 1332 - 1340). New York: Wiley
[Chapter]Authored by: Roberts, M.

Roberts, MG. (1996). Hydatid disease. In VS. Isham, & GF. Medley (Eds.) Models for Infectious Human Diseases, Their Structure and Relation to Data.. (pp. 388 - 391). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.

Roberts, MG., & Kao, RR. (1996). The value of modelling in animal vaccination programmes. In Vaccination as a means for control of bovine tuberculosis. (pp. 41 - 44). Wallaceville: The Royal Society of New Zealand
[Chapter]Authored by: Roberts, M.

Wake, GC., Louie, K., & Roberts, MG. (1996). The regulation of an age-structured population by a fatal disease with or without dispersion. In M. Martelli, K. Cooke, E. Cumberbatch, B. Tang, & H. Thieme (Eds.) Differential Equations and Applications to Biology and to Industry. (pp. 553 - 561). Singapore: World Scientific Publishing Company
[Chapter]Authored by: Roberts, M.

Dye, C., Barlow, ND., Begon, M., Bowers, RG., Bolker, BM., Briggs, CJ., . . . Williams, B. (1995). Microparasite group report: persistence of microparasites in natural populations. In BT. Grenfell, & AP. Dobson (Eds.) Ecology of Infectious Diseases in Natural Populations.. (pp. 90 - 122). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.

Gemmell, MA., & Roberts, MG. (1995). Modelling echinococcus life-cycles. In RCA. Thompson, & AJ. Lymberry (Eds.) Echinococcus and Hydatid Disease. (pp. 333 - 354). Wallingford: CAB International
[Chapter]Authored by: Roberts, M.

Grenfell, BT., Dietz, K., & Roberts, MG. (1995). Modelling the immuno-epidemiology of macroparasites in naturally-fluctuating host populations. In BT. Grenfell, & AP. Dobson (Eds.) Ecology of Infectious Diseases in Natural Populations.. (pp. 362 - 383). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.

Heesterbeek, JAP., & Roberts, MG. (1995). Mathematical models for microparasites of wildlife. In BT. Grenfell, & AP. Dobson (Eds.) Ecology of Infectious Diseases in Natural Populations.. (pp. 90 - 122). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.

Roberts, MG. (1995). The population dynamics of nematode infections of ruminants. In O. Arino, D. Axelrod, M. Kimmel, & M. Langlais (Eds.) Theory of Epidemics. (pp. 357 - 365). Winnipeg: Wuerz Publishing
[Chapter]Authored by: Roberts, M.

Roberts, MG. (1995). Tuberculosis control in possums: Culling or vaccination?. In F. Griffin, & G. de Lisle (Eds.) Tuberculosis in wildlife and domestic animals. (pp. 222 - 224). Dunedin: University of Otago Press
[Chapter]Authored by: Roberts, M.

Roberts, MG., Smith, G., & Grenfell, BT. (1995). Mathematical models for macroparasites of wildlife. In BT. Grenfell, & AP. Dobson (Eds.) Ecology of Infectious Diseases in Natural Populations.. (pp. 177 - 208). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.

Smith, G., Basanez, MG., Dietz, K., Gemmell, MA., Grenfell, BT., Gulland, FMD., . . . Woolhouse, ME. (1995). Macroparasite group report: Problems in modelling the dynamics of macroparasitic systems. In BT. Grenfell, & AP. Dobson (Eds.) Ecology of Infectious Diseases in Natural Populations.. (pp. 209 - 229). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.

Roberts, MG., & Gemmell, MA. (1994). Echinococcosis. In ME. Scott, & G. Smith (Eds.) Parasitic and Infectious Diseases: Epidemiology and Ecology.. (pp. 249 - 262). San Diego: Academic Press
[Chapter]Authored by: Roberts, M.

Lightowlers, MW., Gemmell, MA., Harrison, GLB., Heath, DD., Rickard, MD., & Roberts, MG. (1992). Control of tissue parasites. II. Cestodes. In WK. Yong (Ed.) Animal Parasite Control Utilising Biotechnology.. (pp. 171 - 198). Ann Arbor: CRC Press
[Chapter]Authored by: Roberts, M.

Roberts, MG., Lawson, JR., & Gemmell, MA. (1986). Epidemiology and control of hydatidosis and cysticercosis. In IS. Francis, BJF. Manley, & FC. Lam (Eds.) Pacific Statistical Congress. (pp. 460 - 463). Amsterdam: North-Holland
[Chapter]Authored by: Roberts, M.

Report

Baker, M., Jennings, LJ., Roberts, MG., Sertsou, G., & Wilson, N.(2006). Modelling interventions to prevent and control outbreaks of pandemic influenza in New Zealand. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Ghosh, M., Roberts, MG., & Cloete, N.(2006). Bovine tuberculosis in possums: modelling, analysis and predictions. Wellington: Animal Health Board
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(2005). Vaccination strategies for pertussis. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Woodson, T., Baker, M., Roberts, MG., & Jennings, LJ.(2005). A review of the scope of modelling to support pandemic influenza preparedness and control in New Zealand. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(2004). A mathematical model for measles vaccination. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(2003). Modelling the Progress of an Outbreak of Severe Acute Respiratory Syndrome (SARS) Preliminary report No.1. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(2003). Modelling the Progress of an Outbreak of Severe Acute Respiratory Syndrome (SARS) Report No.2. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(2003). Modelling the Progress of a Smallpox Epidemic. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(2001). The epidemiology of Taenia Ovis infections in lambs and sheep in New Zealand: 1990-2000. Upper Hutt: AgResearch, Wallaceville Animal Research Centre
[Technical Report]Authored by: Roberts, M.

European Commission, .(2000). Final opinion of the Scientific Steering Committee on the geographical risk of bovine spongiform encephalopathy (GBR). Brussels: Health and consumer protection, European Commission
[Technical Report]Authored by: Roberts, M.

Fulford, GD., & Roberts, MG.(2000). The metapopulation dynamics of tuberculosis in possums. Wellington: Animal Health Board
[Technical Report]Authored by: Roberts, M.

Fulford, GD., & Roberts, MG.(2000). A preliminary model for the control of Tb in the Waikato region. Wellington: Animal Health Board
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(2000). An updated model of measles dynamics in New Zealand. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(2000). Report to the Otago Regional Council on an analysis of data relating to the population dynamics of RHD and rabbits. Upper Hutt: AgResearch, Wallaceville Animal Research Centre
[Technical Report]Authored by: Roberts, M.

Tobias, MI., & Roberts, MG.(2000). Modelling physical activity: second report of the Population Health Modelling Project. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(1999). Optimal vaccination strategies against pertussis in New Zealand. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Roberts, MG., Kao, RR., Moller, H., Norbury, GL., & Ragg, JR.(1999). The optimal control of feral ferret populations. Wellington: Animal Health Board
[Technical Report]Authored by: Roberts, M.

Tobias, MI., & Roberts, MG.(1999). Modelling diabetes: first report of the Population Health Modelling Project. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Tobias, MI., Roberts, MG., & Mansoor, O.(1998). Optimal timing of MMR immunisation. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Tobias, MI., & Roberts, MG.(1998). Modelling measles. Predicting and preventing measles epidemics in New Zealand: Application of a mathematical model. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Roberts, MG., & Tobias, MI.(1997). A model of the dynamics of measles. Wellington: Ministry of Health
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(1992). Options for the control and eradication of Taenia ovis in New Zealand: Results from a model. : AgResearch internal report.
[Technical Report]Authored by: Roberts, M.

Roberts, MG.(1990). Preliminary report on a mathematical model for the dynamics of bovine tuberculosis in possums. : MAF internal report.
[Technical Report]Authored by: Roberts, M.

Jonas, WE., Fisher, MG., & Roberts, MG.(1986). Sarcocystis muris: Changes in number of mice infected and intensity of infection with sarcocysts after a single oral dose of sporocysts. : MAF internal report.
[Technical Report]Authored by: Roberts, M.

Lawson, JR., Roberts, MG., Gemmell, MA., & Best, SJ.(1986). Benefit/cost analysis of options for the control and eradication of hydatidosis and cysticercosis. : MAF internal report.
[Technical Report]Authored by: Roberts, M.

Conference

Roberts, MG. (2011, September). Mathematical models for the evolution and transmission of a virus. Presented at Australian Mathematical Society Conference. Wollongong.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, M. (2011, January). Epidemic models with uncertainty. Presented at The 2011 Annual Australian and New Zealand Industrial and Applied Mathematics Conference. Glenelg, SA, Australia.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, M. (2011, May). Epidemic models with uncertainty. Presented at Workshop on Discrete Mathematics and Probability in Networks and Population Biology. National University of Singapore, Singapore.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2010, June). Early estimation of epidemic parameters. Presented at The Pandemic Influenza A(H1N1) Workshop. Health Research Council, Auckland, New Zealand.
[Conference Oral Presentation]Authored by: Roberts, M.
Read Abstract: abstract icon

Roberts, MG. (2010, March). Virus evolution: Escaping immunity. Presented at The International Conference on Mathematics, Evolution and Development. The Chinese Academy of Sciences, Shanghai, China.
[Conference Oral Presentation]Authored by: Roberts, M.
Read Abstract: abstract icon

Roberts, MG. (2010, January). The concept of generation in epidemic models. Presented at The 46th Applied Mathematics Conference (ANZIAM 2010). Queenstown, New Zealand.
[Conference Oral Presentation]Authored by: Roberts, M.
Read Abstract: abstract icon

Roberts, MG. (2010, May). Next generation matrices and the type reproduction number: Beyond R₀. Presented at The 3rd Conference of Computational and Mathematical Population Dynamics. Bordeaux, France.
[Conference Oral Presentation]Authored by: Roberts, M.

Mann, JL., & Roberts, MG. (2010, May). Modelling virus variants and invasion. Presented at The 3rd Conference of Computational and Mathematical Population Dynamics. Bordeaux, France.
[Conference Oral Presentation]Authored by: Roberts, M.
Read Abstract: abstract icon

Roberts, MG. (2010, January). Next generation matrices and the type reproduction number: Beyond R0. Presented at Workshop on Epidemiology of Infectious Diseases: Emerging Challenges. National University of Singapore, Singapore.
[Conference Oral Presentation]Authored by: Roberts, M.
Read Abstract: abstract icon

Roberts, MG. (2009, March). The type reproduction number for emerging and evolving viruses. Presented at Modelling and Data Analysis for Infectious Disease Control. Murramarang, New South Wales.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG.The dynamics of seasonal influenza. . (pp. 2685 - 2688).
[Conference]Authored by: Roberts, M.
Read Online: DOI icon

Roberts, MG. (2009, December). Modelling pandemic influenza. Presented at New Zealand Mathematics Colloquium 2009. Massey University, Auckland, New Zealand.
[Conference Oral Presentation]Authored by: Roberts, M.
Read Abstract: abstract icon

Roberts, MG. (2009, February). The dynamics of seasonal influenza. Presented at 45th Australia and New Zealand Industrial and Applied Mathematics Conference. Caloundra, QLD.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2009). The dynamics of seasonal influenza. In 45th Australia and New Zealand Industrial and Applied Mathematics Conference(pp. 49 - 49). : ANZIAM
[Conference Abstract]Authored by: Roberts, M.

Roberts, MG. (2008, October). Seasonal influenza in New Zealand. Presented at Spatio-temporal and Network Modeling of Diseases III. University of Tubingen.
[Conference Oral Presentation]Authored by: Roberts, M.

Fryer, HR., Frater, AJ., Phillips, RE., Roberts, MG., & McLean, AR. (2008, December). What can HLA frequencies and CTL escape mutant prevalences tell us about escape and reversion rates?. Presented at First International Conference on Infectious Disease Dynamics.. Asilomar, CA.
[Conference Oral Presentation]Authored by: Roberts, M.

Fryer, HR., Frater, AJ., Phillips, RE., Roberts, MG., & McLean, AR. (2008). What can HLA frequencies and CTL escape mutant prevalences tell us about escape and reversion rates?. In First International Conference on Infectious Disease Dynamics.(pp. unpaged). : Elsevier
[Conference Abstract]Authored by: Roberts, M.

Roberts, MG. (2008, December). The type reproduction number for emerging and evolving viruses. Presented at First International Conference on Infectious Disease Dynamics.. Asilomar, CA.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2008). The type reproduction number for emerging and evolving viruses. In First International Conference on Infectious Disease Dynamics.(pp. 24 - 24). : Elsevier
[Conference Abstract]Authored by: Roberts, M.

Roberts, MG. (2008, June). Seasonal influenza - it's worth having a shot. Presented at Applied Mathematics One-Day Meeting. University of Auckland, NZ.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2008, February). The evolution and transmission of a virus. Presented at Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) 2008 Annual Meeting. Katoomba, NSW.
[Conference Oral Presentation]Authored by: Roberts, M.

Fryer, HR., Frater, AJ., Roberts, MG., & McLean, AR.What can HLA frequencies and CTL escape mutant prevalences tell us about escape and reversion rates?. . (pp. 18).
[Conference]Authored by: Roberts, M.

Fryer, HR., Frater, AJ., Roberts, MG., & McLean, AR.What can HLA frequencies and CTL escape mutant prevalences tell us about escape and reversion rates?. . (pp. 73(139)).
[Conference]Authored by: Roberts, M.

Roberts, MG.Spatio-temporal and network modelling of diseases. .
[Conference]Authored by: Roberts, M.

Roberts, MG. (2007, August). The pluses and minuses of R₀. Presented at International Conference on BioMathematics. Institut Teknologi Bandung, Bandung, Indonesia.
[Conference Oral Presentation]Authored by: Roberts, M.

Fryer, HR., Frater, AJ., Roberts, MG., & McLean, AR. (2007, April). What can HLA frequencies and CTL escape mutant prevalences tell us about escape and reversion rates?. Presented at 14th International HIV Dynamics and Evolution Conference. Segovia, Spain.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2007, May). R₀ for networks and other structured populations. Presented at Centre for Discrete Mathematics and Theoretical Computer Science (DIMACS) Workshop on Spatio-Temporal and Network Modeling of Diseases. Edinburgh, UK.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2007, April). Why is a weed like a virus?. Presented at New Zealand Institute of Mathematics and its Applications (NZIMA) Workshop on Modelling Invasive Species and Weed Impact. Hanmer Springs, NZ.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2007, January). How to model a virus that doesn't (yet) exist. Presented at Australian and New Zealand Industrial and Applied Mathematics Annual Conference. Fremantle, WA.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG.The evolution and transmission of a virus. .
[Conference]Authored by: Roberts, M.

Roberts, MG. (2006, December). Modelling the evolution and transmission of a virus. Presented at 2006 New Zealand Mathematics Colloquium. University of Waikato, Hamilton, NZ.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2006, October). How to model a virus that doesn't (yet) exist. Presented at 9th Manawatu-Wellington Applied Mathematics Day. Massey University, Palmerston North, NZ.
[Conference Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2006, December). A mathematical model for the within-host evolution and transmission of a virus. Presented at Centre for Discrete Mathematics and Theoretical Computer Science (DIMACS) Workshop on Immuno-epidemiology. Rutgers University, Newark, NJ.
[Conference Oral Presentation]Authored by: Roberts, M.

Ghosh, M., & Roberts, MG.A comparative study of control strategies for bovine tuberculosis in possums. .
[Conference]Authored by: Roberts, M.

Mann, JL., & Roberts, MG.To vaccinate or not to vaccinate?. .
[Conference]Authored by: Roberts, M.

Roberts, MG.The evolution of an infectious disease. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Optimising vaccination strategies against measles and pertussis. .
[Conference]Authored by: Roberts, M.

Aldis, GK., & Roberts, MG.A model for the control of a smallpox outbreak. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Modelling strategies for minimizing the impact of an imported exotic infection. .
[Conference]Authored by: Roberts, M.

Roberts, MG., & Heesterbeek, JAP.The type reproduction number for an infectious disease. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Invasion of exotic infections. . (pp. 2634 - 2636).
[Conference]Authored by: Roberts, M.

Roberts, MG., & Heesterbeek, JAP.Identification of reservoirs of infection. . (pp. 2636 - 2638).
[Conference]Authored by: Roberts, M.

Roberts, MG., & North, H.Modelling the spread of wilding conifers. . (pp. 103 - 114).
[Conference]Authored by: Roberts, M.

Scott, DJ., Ameratunga, S., Macmillan, A., Lennon, D., Stewart, J., Crengle, S., . . . Roberts, MG.The data analysis plan for the New Zealand meningitis B vaccination programme. . (pp. 2639 - 2640).
[Conference]Authored by: Roberts, M.

Fulford, GD., & Roberts, MG.1D spread along a river bank of an infectious disease in a wildlife population. .
[Conference]Authored by: Roberts, M.

Roberts, MG.A measles epidemic controlled by a mathematical model. .
[Conference]Authored by: Roberts, M.

Roberts, MG.A mathematician in Asia - dining on dengue and supping with SARS. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Mathematical models for intestinal parasites. .
[Conference]Authored by: Roberts, M.

Roberts, MG.A threshold quantity for disease eradication - beyond R0. .
[Conference]Authored by: Roberts, M.

Roberts, MG., Fulford, G., & Heesterbeek, JAP.The metapopulation dynamics of an infectious disease. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Diabetes, sloth and obesity: models of population health. .
[Conference]Authored by: Roberts, M.

Roberts, MG.BSE: Mathematical modelling meets Brussels bureaucracy. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Models for predicting the outcome of an integrated vaccine and vector control programme. .
[Conference]Authored by: Roberts, M.

Roberts, MG.The metapopulation dynamics of an infectious disease. .
[Conference]Authored by: Roberts, M.

Wake, GC., Roberts, MG., Wall, DJ., & Yamamoto, S. (2001). Illustrative examples and theory of a Kermack-McKendrick model applied to infectious diseases. IMA Conference on Mathematical Modelling and Statistical Analysis of Infectious Diseases. (pp. 201 - 205). Cardiff, UK
[Conference Paper in Published Proceedings]Authored by: Roberts, M., Wake, G.

Fulford, G., & Roberts, MG.Possum patches: developing a TB management tool. . (pp. 33).
[Conference]Authored by: Roberts, M.

Roberts, MG.Does reduced chemotherapy imply reduced selection for resistance?. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Diabetes, sloth and obesity: IPRM models of population health. .
[Conference]Authored by: Roberts, M.

Alban, L., Heim, D., de Koeijer, AA., Kreysa, J., & Roberts, MG.Assessment of the geographical risk of Bovine Spongiform Encephalopathy - a proposal. .
[Conference]Authored by: Roberts, M.

Roberts, MG., & Heesterbeek, JAP.A simple parasite model with complicated dynamics. . (pp. 434).
[Conference]Authored by: Roberts, M.

Kao, RR., & Roberts, MG.A Simple Model of Nematode Parasites in Sheep - A Critical Examination of Experimental Parameters. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Nonlinear integral equations in epidemiology. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Animal diseases: their epidemiology and control. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Coexistence and competition in parasitic helminth communities. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Predicting and preventing measles epidemics in New Zealand. . (pp. 43).
[Conference]Authored by: Roberts, M.

Dobson, AP., & Roberts, MG.Age-structured models of brucellosis in Yellowstone Bison. .
[Conference]Authored by: Roberts, M.

Roberts, MG.A simple parasite model with complicated dynamics. .
[Conference]Authored by: Roberts, M.

Roberts, MG.The immunoepidemiology of parasites of farmed animals. .
[Conference]Authored by: Roberts, M.

Roberts, MG.The dynamics of measles in New Zealand. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Possums, parasites and population dynamics. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Integral equation models in epidemiology. .
[Conference]Authored by: Roberts, M.

Heesterbeek, JAP., & Roberts, MG.Threshold quantities for helminth parasites in periodic environments. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Threshold quantities in parasite population dynamics. .
[Conference]Authored by: Roberts, M.

Roberts, MG.The dynamics of a microbial disease in a wild animal population. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Can tuberculosis be eradicated from possum populations by culling or vaccination?. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Nematode population dynamics: all we need know is Q0. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Threshold quantities in parasite population dynamics. .
[Conference]Authored by: Roberts, M.

Roberts, MG.The population dynamics of parasite communities, and their potential for control of the brush-tailed possum in New Zealand. .
[Conference]Authored by: Roberts, M.

Roberts, MG., & Heesterbeek, JAP.Threshold quantities in parasite population dynamics. .
[Conference]Authored by: Roberts, M.

Roberts, MG., & Wake, GC.Mathematical models help us to understand the epidemiology of bovine tuberculosis. .
[Conference]Authored by: Roberts, M.

Heesterbeek, JAP., & Roberts, MG.Threshold properties for helminth infections. .
[Conference]Authored by: Roberts, M.

Roberts, MG.A model for the dynamics of parasite communities. .
[Conference]Authored by: Roberts, M.

Roberts, MG., & Dobson, AP.A model for the population dynamics of parasite communities. .
[Conference]Authored by: Roberts, M.

Louie, K., Wake, GC., & Roberts, MG.Modelling the spatial spread of bovine tuberculosis in the possum population in New Zealand. .
[Conference]Authored by: Roberts, M.

Roberts, MG.The population dynamics of nematode parasites: a can of worms. .
[Conference]Authored by: Roberts, M.

Roberts, MG.The population dynamics of nematode infections of ruminants. .
[Conference]Authored by: Roberts, M.

Roberts, MG., & Aubert, MFA.Foxes, rabies and Echinococcus multilocularis - a problem in integrated control. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Possum population dynamics. .
[Conference]Authored by: Roberts, M.

Roberts, MG.What drives nematode population dynamics?. .
[Conference]Authored by: Roberts, M.

Roberts, MG.Mathematical modelling of echinococcus epidemiology. .
[Conference]Authored by: Roberts, M.

Gemmell, MA., Roberts, MG., & Lawson, JR.Modelling the transmission dynamics of wildlife echinococcosis. .
[Conference]Authored by: Roberts, M.

Roberts, MG., Gemmell, MA., & Lawson, JR.Prospects for modelling and controlling wildlife echinococcosis. .
[Conference]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., & Roberts, MG.Control of Echinococcus granulosus in its domestic life cycle. .
[Conference]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., & Roberts, MG.Comparative problems of controlling Echinococcus granulosus and E.multilocularis. .
[Conference]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., & Roberts, MG.Failure in cysticercosis control: a case of surfeit of immunity. .
[Conference]Authored by: Roberts, M.

Lawson, JR., Roberts, MG., & Gemmell, MA.Options on the control and eradication of hydatidosis and cysticercosis in New Zealand. .
[Conference]Authored by: Roberts, M.

Roberts, MG., Lawson, JR., & Gemmell, MA.A mathematical model of Taeniid life cycles. .
[Conference]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., & Roberts, MG.Present status of world-wide progress in the control of echinococcosis/hydatidosis. .
[Conference]Authored by: Roberts, M.

Gemmell, MA., Lawson, JR., & Roberts, MG.Control of Taeniidae with high and low biotic potentials. . (pp. 59).
[Conference]Authored by: Roberts, M.

Roberts, MG.The dynamics of seasonal influenza. In M. Eichner, E. Halloran, & P. O'Neill (Eds.)Vol. 48 (pp. 2685 - 2688). : Design and analysis of infectious disease studies
[Conference Paper in Published Proceedings]Authored by: Roberts, M.

Other

Roberts, M. (2011). Threshold quantities for epidemics. Presented at University of Melbourne, Parkville, VIC, Australia.
[Oral Presentation]Authored by: Roberts, M.
Read Abstract: abstract icon

Roberts, M. (2011). Threshold quantities for epidemics. Presented at National University of Singapore, Singapore.
[Oral Presentation]Authored by: Roberts, M.
Read Abstract: abstract icon

Roberts, MG. (2009). The type reproduction number for emerging and evolving viruses. Presented at London, UK.
[Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2009). The type reproduction number for emerging and evolving viruses. Presented at Utrecht, The Netherlands.
[Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2008, October). Seasonal influenza in New Zealand. In Centre for Discrete Mathematics and Theoretical Computer Science and European Centre for Disease Prevention and Control.. Presented at Tubingen University Clinics, Tubingen, Germany.
[Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2008). The mathematics of plagues, epidemics and pandemics. Presented at Wellington, NZ.
[Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2008). The mathematics of plagues, epidemics, and pandemics. Presented at University of Auckland, NZ.
[Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2008). The mathematics of plagues, epidemics and pandemics. Presented at Massey University, Auckland, NZ.
[Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2008, February). Modelling the control of influenza outbreaks. In Seasonal and Pandemic Influenza: Surveillance, Control, and Research. Wellington School of Medicine and Health Sciences 12th Summer School Workshop. Presented at Wellington School of Medicine and Health Sciences, Wellington, NZ.
[Oral Presentation]Authored by: Roberts, M.

Roberts, MG. (2006). Pandemic influenza: How to model a virus that doesn't (yet) exist. Presented at Massey University, Auckland, NZ.
[Oral Presentation]Authored by: Roberts, M.

Supervision and Teaching

Papers Coordinated

Current Postgraduate Supervision

Supervisor of:

  • Andrea Babylon - PhD
    Modelling Infectious Diseases in Multiple Species
  • Karen McCulloch - PhD
    Develop and Analyse Mathematical Models that Describe the Spread of an Infectious Disease

Completed Postgraduate Supervision

Supervisor of:

  • 2009 - Joanne Mann- PhD
    Modelling infectious disease epidemiology and vaccination impact

CoSupervisor of:

  • 2008 - Amanda Elvin- PhD
    Pattern formation in a neural field model

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