A periodic predator-prey-chain system with impulsive perturbation

被引：7

作者：

Dong, Lingzhen ^{[1
]}

Chen, Lansun ^{[2
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China

[2] Dalian Univ Technol, Dept Math, Dalian 116023, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 223卷 / 02期

关键词：

Predator-prey chain; Bifurcation; Impulsive perturbation; Positive periodic solution; Noncritical solution;

D O I：

10.1016/j.cam.2008.02.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A periodic predator-prey-chain system with impulsive effects is considered. By using the global results of Rabinowitz and standard techniques of bifurcation theory, the existence of its trivial, semi-trivial and nontrivial positive periodic solutions is obtained. It is shown that the nontrivial positive periodic solution for such a system may be bifurcated from an unstable semitrivial periodic solution. Furthermore, the stability of these periodic solutions is studied. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：578 / 584

页数：7

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