Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments

被引：47

作者：

Xu, R ^{[1
]}

Chaplain, MAJ

Davidson, FA

机构：

[1] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland

[2] Mech Engn Coll, Dept Math, Shijiazhuang, Hebei 050003, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2004年 / 5卷 / 01期

关键词：

dispersion; time delay; periodic solution; persistence; global stability;

D O I：

10.1016/S1468-1218(03)00032-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A delayed periodic Lotka-Volterra type predator-prey model with prey dispersal in two-patch environments is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by means of a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are obtained to guarantee the existence, uniqueness and global stability of positive periodic solutions of the system. Numerical simulations are given to illustrate the feasibility of our main results. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：183 / 206

页数：24

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