GLOBAL DYNAMICS OF A PREDATOR-PREY MODEL INCORPORATING A CONSTANT PREY REFUGE

被引：0

作者：

Yu, Xiaolei ^{[1
]}

Sun, Fuqin ^{[1
]}

机构：

[1] Tianjin Univ Technol & Educ, Sch Sci, Tianjin 300222, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Predator-prey model; prey refuge; global stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a general predator-prey model incorporating a constant prey refuge with Hassell-Varley type functional response is studied. Sufficient conditions for the stability of the equilibria are obtained. It is shown that the positive equilibrium exists if predator death rate multiplied by a constants is smaller than its growth rate multiplied by capturing rate. Moreover, by constructing a Lyapunov function, it is shown that the positive equilibrium is globally stable.

引用

页数：8

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