A predator-prey model with disease in the prey

被引：422
|
作者：
Chattopadhyay, J
Arino, O
机构：
[1] Indian Stat Inst, Embryol Res Unit, Kolkata 700035, W Bengal, India
[2] Univ Pau, IPRA, UPRES A 5033, F-64000 Pau, France
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 36卷 / 06期
关键词：
sound prey; infected prey; predator; Hopf bifurcation; Poincare map;
D O I：
10.1016/S0362-546X(98)00126-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Three eco-epidemiological system species are considered: sound prey, infected prey, and predator. The system predator-prey model, where the prey is infected by a parasite, and the prey in turn infects the predator with that parasite, is described. The persistence and extinction conditions of the populations are derived and the conditions for which the system enters a Hopf-type bifurcation are determined. The bifurcated branches are supercritical in some parametric region space in a special case when the predator response function is a Holling-type II function.
引用
收藏
页码：747 / 766
页数：20
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