Local bifurcations of a ratio-dependent predator-prey system with Holling type III functional response

被引：0

作者：

Zhang, Qiuyan ^{[1
,2
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Chengdu Coll, Dept Liberal Arts & Sci, Chengdu 611731, Sichuan, Peoples R China

来源：

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2015年 / 42卷 / 02期

关键词：

Predator-prey system; pitchfork bifurcation; Hopf bifurcation; Lyapunov coefficient;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper a ratio-dependent predator-prey system with Holling type III functional response is discussed. We give parameter conditions for exact number of equilibria. The conditions for pitchfork bifurcation are given by the center manifold theory. Hopf bifurcations are discussed by computing Lyapunov coefficients. It is shown that at most one stable limit cycle occurs.

引用

页码：339 / 346

页数：8

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