The role of transmissible diseases in the Holling-Tanner predator-prey model.
暂无分享,去创建一个
[1] C. S. Holling. The functional response of invertebrate predators to prey density , 1966 .
[2] Herbert W. Hethcote,et al. Dynamic models of infectious diseases as regulators of population sizes , 1992, Journal of mathematical biology.
[3] O. Diekmann,et al. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations , 1990, Journal of mathematical biology.
[4] Y. Linhart. Disease, parasitism and herbivory: Multidimensional challenges in plant evolution. , 1991, Trends in ecology & evolution.
[5] Herbert W. Hethcote,et al. Four predator prey models with infectious diseases , 2001 .
[6] H. Hethcote,et al. Effects of quarantine in six endemic models for infectious diseases. , 2002, Mathematical biosciences.
[7] D. Dennett,et al. The Extended Phenotype: The Long Reach of the Gene , 2008 .
[8] C. Combes,et al. Parasitism: The Ecology and Evolution of Intimate Interactions , 2001 .
[9] Somdatta Sinha,et al. The role of virus infection in a simple phytoplankton zooplankton system. , 2004, Journal of theoretical biology.
[10] P Auger,et al. Dynamics of a feline virus with two transmission modes within exponentially growing host populations , 2000, Proceedings of the Royal Society of London. Series B: Biological Sciences.
[11] A. Dobson,et al. Do parasites make prey vulnerable to predation? Red grouse and parasites , 1992 .
[12] R. May,et al. Stability and Complexity in Model Ecosystems , 1976, IEEE Transactions on Systems, Man, and Cybernetics.
[13] H. I. Freedman,et al. Predator-prey populations with parasitic infection , 1989, Journal of mathematical biology.
[14] E. Heinrichs. Plant stress-insect interactions , 1988 .
[15] Manuel Delgado,et al. Relating disease and predation: equilibria of an epidemic model , 2005 .
[16] Eduardo Sáez,et al. Dynamics of a Predator-Prey Model , 1999, SIAM J. Appl. Math..
[17] R. May,et al. Regulation and Stability of Host-Parasite Population Interactions: I. Regulatory Processes , 1978 .
[18] H. Hethcote,et al. Disease transmission models with density-dependent demographics , 1992, Journal of mathematical biology.
[19] Zhien Ma,et al. A predator-prey model with infected prey. , 2004, Theoretical population biology.
[20] Jorge Sotomayor,et al. Generic Bifurcations of Dynamical Systems , 1973 .
[21] Lansun Chen,et al. Modeling and analysis of a predator-prey model with disease in the prey. , 2001, Mathematical biosciences.
[22] Robert M. May,et al. Limit Cycles in Predator-Prey Communities , 1972, Science.
[23] A. Dobson,et al. Pathogens and the structure of plant communities. , 1994, Trends in ecology & evolution.
[24] Ezio Venturino,et al. Epidemics in predator-prey models: disease in the predators. , 2002, IMA journal of mathematics applied in medicine and biology.
[25] James T. Tanner,et al. THE STABILITY AND THE INTRINSIC GROWTH RATES OF PREY AND PREDATOR POPULATIONS , 1975 .
[26] W. Hamilton,et al. Sexual reproduction as an adaptation to resist parasites (a review). , 1990, Proceedings of the National Academy of Sciences of the United States of America.
[27] A. Watkinson,et al. The role of the hemiparasitic annual Rhinanthus minor in determining grassland community structure , 2004, Oecologia.
[28] H. I. Freedman,et al. A model of predator-prey dynamics as modified by the action of a parasite. , 1990, Mathematical biosciences.
[29] Ernesto Salinelli,et al. Population-induced oscillations in blended SI-SEI epidemiological models. , 2002, IMA journal of mathematics applied in medicine and biology.
[30] W. O. Kermack,et al. A contribution to the mathematical theory of epidemics , 1927 .
[31] S. Juliano,et al. Modification of antipredator behavior of Caecidotea intermedius by its parasite Acanthocephalus dirus , 1993 .
[32] Ezio Venturino,et al. The Influence of Diseases on Lotka-Volterra Systems , 1993 .
[33] Sze-Bi Hsu,et al. Global Stability for a Class of Predator-Prey Systems , 1995, SIAM J. Appl. Math..
[34] J. Hale,et al. Ordinary Differential Equations , 2019, Fundamentals of Numerical Mathematics for Physicists and Engineers.
[35] M. Scott,et al. Parasitism: A cryptic determinant of animal community structure. , 1991, Trends in ecology & evolution.
[36] PETER A. BRAZA,et al. The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing , 2003, SIAM J. Appl. Math..
[37] T. O. Carroll,et al. Modeling the role of viral disease in recurrent phytoplankton blooms , 1994 .
[38] E. Venturino. The effects of diseases on competing species. , 2001, Mathematical biosciences.
[39] Eric Renshaw. Modelling biological populations in space and time , 1990 .
[40] Jesse A. Logan,et al. Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees , 1988 .
[41] Herbert W. Hethcote,et al. The Mathematics of Infectious Diseases , 2000, SIAM Rev..
[42] S. A. Temple. Do Predators Always Capture Substandard Individuals Disproportionately From Prey Populations , 1987 .