Bifurcation of a predator-prey model with disease in the prey

被引：24
|
作者：
Liu, Xuanliang [1 ]
Wang, Chaoyang [1 ]
机构：
[1] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Guangdong, Peoples R China
来源：
NONLINEAR DYNAMICS | 2010年 / 62卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Predator-prey model; Nonlinear incidence rate; Bifurcation; Limit cycle; BEHAVIOR;
D O I：
10.1007/s11071-010-9766-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a predator-prey model with disease in the prey is considered. Assume that the predator eats only the infected prey, and the incidence rate is nonlinear. We study the dynamics of the model in terms of local analysis of equilibria and bifurcation analysis of a boundary equilibrium and a positive equilibrium. We discuss the Bogdanov-Takens bifurcation near the boundary equilibrium and the Hopf bifurcation near the positive equilibrium; numerical simulation results are given to support the theoretical predictions.
引用
收藏
页码：841 / 850
页数：10
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