Existence and global stability of positive periodic solutions for predator-prey system with infinite delay and diffusion

被引：7

作者：

Zhu, Hongguang ^{[1
]}

Wang, Ke

Li, Xiaojian

机构：

[1] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

[2] Harbin Inst Technol, Dept Math, Shandong 264209, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2007年 / 8卷 / 03期

基金：

中国国家自然科学基金;

关键词：

positive periodic solutions; global stability; predator-prey system infinite delay; diffusion; Mawhins's continuous theorem;

D O I：

10.1016/j.nonrwa.2006.03.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a periodic predator-prey system with Holling type III functional response, in which the prey species can diffuse among two patches but the predator is confined in one patch. By using the continuation theorem of coincidence degree theory and Lyapunov functional, some sufficient conditions are obtained. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：872 / 886

页数：15

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