Papers in infectious disease modelling
Here is a list of papers to help you get started with your research. Any of these papers can be used as a reference for your research project! However, any paper listed here will not count towards the required number of citations for either the proposal or the final project.
I provide links to each papers. If you are on campus, you should be able to download a pdf version of all these papers. If you are off-campus, you can get access by adding ".proxy.queensu.ca" after the ".com" in the link name. This will take you to a queensu page that you can log into, giving you access through the University's subscriptions.
Foundational host-parasite modelling papers
Anderson, R. M. and R. M. May. (1979). Population biology of infectious diseases: Part I. Nature 280: 361-367.
May, R. M. and R. M. Anderson. (1979). Population biology of infectious diseases: Part II. Nature 280: 455-461.
Hethcote, H. W. (2000). The mathematics of infectious diseases. SIAM Review 42: 599-653.
Vector-borne diseases and multi-host systems
Dobson, A.P. (2004). Population dynamics of pathogens with multiple host species. American Naturalist 164: S64–S78.
Keesing, F., Holt, R. D., & Ostfeld, R. S. (2006). Effects of species diversity on disease risk. Ecology Letters 9: 485-498.
Multi-pathogen and multi-strain disease systems
Andreasen, V., Lin, J., & Levin, S. A. (1997). The dynamics of cocirculating influenza strains conferring partial cross-immunity. Journal of Mathematical Biology 35: 825-842.
Rohani, P., Green, C. J., Mantilla-Beniers, N. B., & Grenfell, B. T. (2003). Ecological interference between fatal diseases. Nature 422: 885-888.
Disease ecology: predators and disease
Packer, C., Holt, R. D., Hudson, P. J., Lafferty, K. D. and Dobson, A. P. (2003). Keeping the herds healthy and alert: implications of predator
control for infectious disease. Ecology Letters 6: 797–802.
Hall, S. R., Duffy, M. A., & Cáceres, C. E. (2005). Selective predation and productivity jointly drive complex behavior in host‐parasite systems.
American Naturalist 165: 70-81.
Sexually-transmitted disease
Garnett, G. P., & Anderson, R. M. (1996). Sexually transmitted diseases and sexual behavior: insights from mathematical models. Journal of
Infectious Diseases 174: S150-S161.
Malaria
Koella, J. C. (1991). On the use of mathematical models of malaria transmission. Acta Tropica 49: 1-25.
Hoshen, M. B., Heinrich, R., Stein, W. D., & Ginsburg, H. (2000). Mathematical modelling of the within-host dynamics of Plasmodium falciparum.
Parasitology 121: 227-235.
Measles
Bolker, B. M. and B. T. Grenfell. (1993). Chaos and biological complexity in measles dynamics. Proceedings of the Royal Society B 251: 75-81.
Tuberculosis
Blower, S. M., McLean, A. R., Porco, T. C., Small, P. M., Hopwell, P. C., Sanchez, M. A., and Moss, A. R. (1995). The intrinsic transmission dynamics
of tuberculosis epidemics. Nature Medicine 1: 815-821.
HIV
Perelson, A. S., & Nelson, P. W. (1999). Mathematical analysis of HIV-1 dynamics in vivo. SIAM Review 41: 3-44.
Kirschner, D. (1999). Dynamics of co-infection with M. tuberculosis and HIV-1. Theoretical Population Biology 55: 94-109.
Influenza
Andreasen, V., Lin, J., & Levin, S. A. (1997). The dynamics of cocirculating influenza strains conferring partial cross-immunity. Journal of Mathematical Biology 35: 825-842.
Mills, C. E., Robins, J. M., & Lipsitch, M. (2004). Transmissibility of 1918 pandemic influenza. Nature 432: 904-906.
Rohani, P., Breban, R., Stallknecht, D. E., & Drake, J. M. (2009). Environmental transmission of low pathogenicity avian influenza viruses and its implications for pathogen invasion. Proceedings of the National Academy of Sciences 106: 10365-10369.
Cholera
Codeço, C. T. (2001). Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir. BMC Infectious Diseases 1: 1.
Rabies
Källen, A., Arcuri, P., & Murray, J. D. (1985). A simple model for the spatial spread and control of rabies. Journal of Theoretical Biology 116: 377-
393.
Dengue
Wearing, H. J., & Rohani, P. (2006). Ecological and immunological determinants of dengue epidemics. Proceedings of the National Academy of
Sciences 103: 11802-11807.
Anthrax
Furniss, P. R., & Hahn, B. D. (1981). A mathematical model of an anthrax epizoötic in the Kruger National Park. Applied Mathematical Modelling
5: 130-136.
Webb, G. F., & Blaser, M. J. (2002). Mailborne transmission of anthrax: modeling and implications. Proceedings of the National Academy of
Sciences 99: 7027-7032.
Hantavirus
Sauvage, F., Langlais, M., Yoccoz, N. G., & Pontier, D. (2003). Modelling hantavirus in fluctuating populations of bank voles: the role of indirect
transmission on virus persistence. Journal of Animal Ecology 72:1-13.
Within-host dynamics
Antia, R., & Koella, J. C. (1994). A model of non-specific immunity. Journal of Theoretical Biology 168: 141-150.
Antia, R., Nowak, M. A., & Anderson, R. M. (1996). Antigenic variation and the within-host dynamics of parasites. Proceedings of the National
Academy of Sciences 93: 985-989.
Fenton, A., & Perkins, S. E. (2010). Applying predator-prey theory to modelling immune-mediated, within-host interspecific parasite interactions.
Parasitology 137: 1027-1038.
Within-host parasite evolution
Antia, R., Levin, B. R., & May, R. M. (1994). Within-host population dynamics and the evolution and maintenance of microparasite virulence.
American Naturalist, 457-472.
Parasite evolution
Bremermann, H. J., & Thieme, H. R. (1989). A competitive exclusion principle for pathogen virulence. Journal of Mathematical Biology 27: 179-
190.
Austin, D. J., & Anderson, R. M. (1999). Studies of antibiotic resistance within the patient, hospitals and the community using simple
mathematical models.Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences 354: 721-738.
Gandon, S., Mackinnon, M. J., Nee, S., & Read, A. F. (2001). Imperfect vaccines and the evolution of pathogen virulence. Nature 414: 751-756.
Host defense evolution
Roy, B. A., & Kirchner, J. W. (2000). Evolutionary dynamics of pathogen resistance and tolerance. Evolution 54: 51-63.
Miller, M. R., White, A., & Boots, M. (2007). Host life span and the evolution of resistance characteristics. Evolution 61: 2-14.
Host-parasite coevolution
May, R. M., & Anderson, R. T. (1983). Epidemiology and genetics in the coevolution of parasites and hosts. Proceedings of the Royal society of
London B 219: 281-313.
van Baalen, M. (1998). Coevolution of recovery ability and virulence. Proceedings of the Royal Society of London B 265: 317-325.
I provide links to each papers. If you are on campus, you should be able to download a pdf version of all these papers. If you are off-campus, you can get access by adding ".proxy.queensu.ca" after the ".com" in the link name. This will take you to a queensu page that you can log into, giving you access through the University's subscriptions.
Foundational host-parasite modelling papers
Anderson, R. M. and R. M. May. (1979). Population biology of infectious diseases: Part I. Nature 280: 361-367.
May, R. M. and R. M. Anderson. (1979). Population biology of infectious diseases: Part II. Nature 280: 455-461.
Hethcote, H. W. (2000). The mathematics of infectious diseases. SIAM Review 42: 599-653.
Vector-borne diseases and multi-host systems
Dobson, A.P. (2004). Population dynamics of pathogens with multiple host species. American Naturalist 164: S64–S78.
Keesing, F., Holt, R. D., & Ostfeld, R. S. (2006). Effects of species diversity on disease risk. Ecology Letters 9: 485-498.
Multi-pathogen and multi-strain disease systems
Andreasen, V., Lin, J., & Levin, S. A. (1997). The dynamics of cocirculating influenza strains conferring partial cross-immunity. Journal of Mathematical Biology 35: 825-842.
Rohani, P., Green, C. J., Mantilla-Beniers, N. B., & Grenfell, B. T. (2003). Ecological interference between fatal diseases. Nature 422: 885-888.
Disease ecology: predators and disease
Packer, C., Holt, R. D., Hudson, P. J., Lafferty, K. D. and Dobson, A. P. (2003). Keeping the herds healthy and alert: implications of predator
control for infectious disease. Ecology Letters 6: 797–802.
Hall, S. R., Duffy, M. A., & Cáceres, C. E. (2005). Selective predation and productivity jointly drive complex behavior in host‐parasite systems.
American Naturalist 165: 70-81.
Sexually-transmitted disease
Garnett, G. P., & Anderson, R. M. (1996). Sexually transmitted diseases and sexual behavior: insights from mathematical models. Journal of
Infectious Diseases 174: S150-S161.
Malaria
Koella, J. C. (1991). On the use of mathematical models of malaria transmission. Acta Tropica 49: 1-25.
Hoshen, M. B., Heinrich, R., Stein, W. D., & Ginsburg, H. (2000). Mathematical modelling of the within-host dynamics of Plasmodium falciparum.
Parasitology 121: 227-235.
Measles
Bolker, B. M. and B. T. Grenfell. (1993). Chaos and biological complexity in measles dynamics. Proceedings of the Royal Society B 251: 75-81.
Tuberculosis
Blower, S. M., McLean, A. R., Porco, T. C., Small, P. M., Hopwell, P. C., Sanchez, M. A., and Moss, A. R. (1995). The intrinsic transmission dynamics
of tuberculosis epidemics. Nature Medicine 1: 815-821.
HIV
Perelson, A. S., & Nelson, P. W. (1999). Mathematical analysis of HIV-1 dynamics in vivo. SIAM Review 41: 3-44.
Kirschner, D. (1999). Dynamics of co-infection with M. tuberculosis and HIV-1. Theoretical Population Biology 55: 94-109.
Influenza
Andreasen, V., Lin, J., & Levin, S. A. (1997). The dynamics of cocirculating influenza strains conferring partial cross-immunity. Journal of Mathematical Biology 35: 825-842.
Mills, C. E., Robins, J. M., & Lipsitch, M. (2004). Transmissibility of 1918 pandemic influenza. Nature 432: 904-906.
Rohani, P., Breban, R., Stallknecht, D. E., & Drake, J. M. (2009). Environmental transmission of low pathogenicity avian influenza viruses and its implications for pathogen invasion. Proceedings of the National Academy of Sciences 106: 10365-10369.
Cholera
Codeço, C. T. (2001). Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir. BMC Infectious Diseases 1: 1.
Rabies
Källen, A., Arcuri, P., & Murray, J. D. (1985). A simple model for the spatial spread and control of rabies. Journal of Theoretical Biology 116: 377-
393.
Dengue
Wearing, H. J., & Rohani, P. (2006). Ecological and immunological determinants of dengue epidemics. Proceedings of the National Academy of
Sciences 103: 11802-11807.
Anthrax
Furniss, P. R., & Hahn, B. D. (1981). A mathematical model of an anthrax epizoötic in the Kruger National Park. Applied Mathematical Modelling
5: 130-136.
Webb, G. F., & Blaser, M. J. (2002). Mailborne transmission of anthrax: modeling and implications. Proceedings of the National Academy of
Sciences 99: 7027-7032.
Hantavirus
Sauvage, F., Langlais, M., Yoccoz, N. G., & Pontier, D. (2003). Modelling hantavirus in fluctuating populations of bank voles: the role of indirect
transmission on virus persistence. Journal of Animal Ecology 72:1-13.
Within-host dynamics
Antia, R., & Koella, J. C. (1994). A model of non-specific immunity. Journal of Theoretical Biology 168: 141-150.
Antia, R., Nowak, M. A., & Anderson, R. M. (1996). Antigenic variation and the within-host dynamics of parasites. Proceedings of the National
Academy of Sciences 93: 985-989.
Fenton, A., & Perkins, S. E. (2010). Applying predator-prey theory to modelling immune-mediated, within-host interspecific parasite interactions.
Parasitology 137: 1027-1038.
Within-host parasite evolution
Antia, R., Levin, B. R., & May, R. M. (1994). Within-host population dynamics and the evolution and maintenance of microparasite virulence.
American Naturalist, 457-472.
Parasite evolution
Bremermann, H. J., & Thieme, H. R. (1989). A competitive exclusion principle for pathogen virulence. Journal of Mathematical Biology 27: 179-
190.
Austin, D. J., & Anderson, R. M. (1999). Studies of antibiotic resistance within the patient, hospitals and the community using simple
mathematical models.Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences 354: 721-738.
Gandon, S., Mackinnon, M. J., Nee, S., & Read, A. F. (2001). Imperfect vaccines and the evolution of pathogen virulence. Nature 414: 751-756.
Host defense evolution
Roy, B. A., & Kirchner, J. W. (2000). Evolutionary dynamics of pathogen resistance and tolerance. Evolution 54: 51-63.
Miller, M. R., White, A., & Boots, M. (2007). Host life span and the evolution of resistance characteristics. Evolution 61: 2-14.
Host-parasite coevolution
May, R. M., & Anderson, R. T. (1983). Epidemiology and genetics in the coevolution of parasites and hosts. Proceedings of the Royal society of
London B 219: 281-313.
van Baalen, M. (1998). Coevolution of recovery ability and virulence. Proceedings of the Royal Society of London B 265: 317-325.