HOPF BIFURCATION OF AN INFECTED PREDATOR-PREY SYSTEM WITH PREY REFUGE

被引：0

作者：

Yanwei Liu ^{[1
]}

Xia Liu ^{[2
]}

机构：

[1] Dept of Math, Zhoukou Normal University

[2] College of Math and Information Science, Henan Normal University

来源：

Annals of Differential Equations | 2013年 / 29卷 / 01期

关键词：

infected prey; Hopf bifurcation; prey refuge; stability;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, an infected predator-prey model with prey refuge is investigated. The effects of refuge on the stability of the equilibria of the system are analyzed. Moreover, using the criterion introduced by Liu, we derive the Hopf bifurcation conditions of the system with respect to the refuge value.

引用

页码：44 / 50

页数：7

共 4 条

[1]

Stability analysis of a prey–predator model with holling type III response function incorporating a prey refuge[J] . Yunjin Huang,Fengde Chen,Li Zhong. Applied Mathematics and Computation . 2006 (1)

[2]

Qualitative analysis of a predator–prey model with Holling type II functional response incorporating a prey refuge[J] . Wonlyul Ko,Kimun Ryu. Journal of Differential Equations . 2006 (2)

[3]

Dynamic consequences of prey refuges in a simple model system: more prey, fewer predators and enhanced stability[J] . Eduardo González-Olivares,Rodrigo Ramos-Jiliberto. Ecological Modelling . 2003 (1)

[4]

Four predator prey models with infectious diseases[J] . Litao Han,Zhien Ma. Mathematical and Computer Modelling . 2001 (7)

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