Periodic solution for a three-species Lotka-Volterra food-chain model with time delays

被引：6

作者：

Rui, X ^{[1
]}

Chaplain, MAJ

Davidson, FA

机构：

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

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

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 40卷 / 7-8期

关键词：

food-chain model; time delay; periodic solution; coincidence degree; global stability;

D O I：

10.1016/j.mcm.2004.10.011

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A delayed three-species periodic Lotka-Volterra food-chain model without instantaneous negative feedback is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness, and global stability of positive periodic solutions of the system. Computer simulations are presented to illustrate the conclusions. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：823 / 837

页数：15

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