Effects of predation on host–pathogen dynamics in SIR models

Theoretical Population Biology - Tập 73 - Trang 319-331 - 2008
Manojit Roy1, Robert D. Holt1
1Department of Zoology, University of Florida, 223 Bartram Hall, PO Box 118525, Gainesville, FL 32611-8525, USA

Tài liệu tham khảo

Abrams, 2002, Will small population sizes warn us of impending extinctions?, Am. Nat., 160, 293, 10.1086/341521 Anderson, 1986, The invasion, persistence and spread of infectious diseases within animal and plant communities, Phil. Trans. R. Soc. Lond., B 314, 533, 10.1098/rstb.1986.0072 Arneberg, 1998, Host densities as determinants of abundance in parasite communities, Proc. R. Soc. Lond. B, 265, 1283, 10.1098/rspb.1998.0431 Borer, 2007, Predators, parasitoids, and pathogens: A cross-cutting examination of intraguild predation theory, Ecology, 88, 2681, 10.1890/06-1707.1 Braza, 2005, Predator–prey dynamics with disease in the prey, Math. Biosci. Eng., 2, 703, 10.3934/mbe.2005.2.703 Chattopadhyay, 1999, A predator–prey model with disease in the prey, Nonlinear Anal., 36, 747, 10.1016/S0362-546X(98)00126-6 Chattopadhyay, 2003, Classical predator–prey system with infection of prey population — a mathematical model, Math. Methods Appl. Sci., 26, 1211, 10.1002/mma.414 Childs, 1989, Effects of hantaviral infection on survival, growth and fertility in wild rat (Rattus norvegicus) populations of Baltimore, Maryland, J. Wildlife Diseases, 25, 469, 10.7589/0090-3558-25.4.469 Collinge, 2006 DeAngelis, 1975, A model for trophic interaction, Ecology, 56, 881, 10.2307/1936298 de Castro, 2005, Parasite establishment and host extinction in model communities, Oikos, 111, 501, 10.1111/j.1600-0706.2005.14101.x Dhooge, 2003, MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs, ACM TOMS, 29, 141, 10.1145/779359.779362 Dobson, 2004, Population dynamics of pathogens with multiple host species, Am. Nat. (Suppl.), 164, S64, 10.1086/424681 Dwyer, 2004, The combined effects of pathogens and predators on insect outbreaks, Nature, 430, 341, 10.1038/nature02569 Edelstein-Keshet, 1988 Hall, 2005, Selective predation and productivity jointly drive complex behavior in host-parasite systems, Am. Nat., 165, 70, 10.1086/426601 Han, 2001, Four predator–prey models with infectious diseases, Math. Comput. Modelling, 34, 849, 10.1016/S0895-7177(01)00104-2 Hethcote, 2004, A predator–prey model with infected prey, Theor. Popul. Biol., 66, 259, 10.1016/j.tpb.2004.06.010 Hochberg, 1990, The dynamics of host-parasitoid-pathogen interactions, Am. Nat., 135, 74, 10.1086/285033 Holt, 2006, Extending the principles of community ecology to address the epidemiology of host-pathogen systems, 6 Holt, 1997, A theoretical framework for intraguild predation, Am. Nat., 149, 745, 10.1086/286018 Holt, 2007, Predation can increase the prevalence of infectious disease, Am. Nat., 169, 690, 10.1086/513188 Hudson, 1992, Do parasites make prey vulnerable to predation? Red grouse and parasites, J. Animal Ecology, 61, 681, 10.2307/5623 Keesing, 2006, Effects of species diversity on disease risk, Ecol. Lett., 9, 485, 10.1111/j.1461-0248.2006.00885.x Murdoch, 2003 Ostfeld, 2004, Are predators good for your health? Evaluating evidence for top-down regulation of zoonotic disease reservoirs, Frontiers Ecol. Environ., 2, 13, 10.1890/1540-9295(2004)002[0013:APGFYH]2.0.CO;2 Packer, 2003, Keeping the herds healthy and alert: Impacts of predation upon prey with specialist pathogens, Ecol. Lett., 6, 797, 10.1046/j.1461-0248.2003.00500.x Rohani, P., Wearing, H.J., Vasco, D.A., Huang, Y., Understanding host-multi-pathogen systems: the interaction between ecology and immunology. In: Ostfeld, R.S., Keesing, F., Eviner, V. (Eds.), Ecology of Infectious Diseases, Princeton University Press, NJ (in press) Rosenzweig, 1971, The paradox of enrichment: Destabilization of exploitation ecosystems in ecological time, Science, 171, 385, 10.1126/science.171.3969.385 Turchin, 2003 Wolf, 1985, Determining lyapunov exponents from a time series, Physica D, 16, 285, 10.1016/0167-2789(85)90011-9 Woolhouse, 2001, Population biology of multihost pathogens, Science, 292, 1109, 10.1126/science.1059026 Xiao, 2001, Modeling and analysis of a predator–prey model with disease in the prey, Math. Biosci., 171, 59, 10.1016/S0025-5564(01)00049-9