Hopf bifurcation and global stability for a delayed predator-prey system with stage structure for predator

被引：48

作者：

Gao, Shujing ^{[1
,2
]}

Chen, Lansun ^{[1
]}

Teng, Zhidong ^{[2
]}

机构：

[1] Gannan Normal Univ, Coll Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 202卷 / 02期

基金：

中国国家自然科学基金;

关键词：

global asymptotic stability; Hopf bifurcation; stage structure; predator-prey; time delay; permanence;

D O I：

10.1016/j.amc.2008.03.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a delayed predator-prey system with stage structure for predator is proposed and studied. It is found that the time delay is harmless for permanence of the stage-structured system. If alpha beta < 1, sufficient conditions which guarantee the global stability of positive equilibrium are given. If alpha beta > 1, we show that the unique positive equilibrium is locally asymptotically stable when time delay tau* is sufficiently small, while loss of stability by a Hopf bifurcation can occur as the delay increases. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：721 / 729

页数：9

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