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 Applied Mathematics | 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.
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页码：44 / 50
页数：7
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