The qualitative analysis of a predator-prey system

被引：0

作者：

Yin Hua-yong ^{[1
]}

Ma Yue-chao ^{[1
]}

机构：

[1] Yanshan Univ, Coll Sci, Qinhuangdao, Peoples R China

来源：

ISBE 2011: 2011 INTERNATIONAL CONFERENCE ON BIOMEDICINE AND ENGINEERING, VOL 1 | 2011年

关键词：

predator-prey system; equilibrium point; density dependent; global asymptotic stability;

D O I：

暂无

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

This paper study a class of predator-prey system, in which both of two species are density dependent, and consider the prey's migration. By using ordinary differential equations for linear approximation theory and Dulac function method, we gained the sufficient and necessary condition for locally asymptotic stability and the sufficient condition global stability of equilibrium point.

引用

页码：91 / 94

页数：4

共 7 条

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[7] Ye Yanqian, 1965, LIMIT CYCLES THEORY

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