Global stability for three-species Lotka-Volterra systems with delay

被引：1

作者：

El-Owaidy, HM ^{[1
]}

Ismail, M ^{[1
]}

机构：

[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 135卷 / 2-3期

关键词：

equilibrium; three-species; global stability; time delay;

D O I：

10.1016/S0096-3003(01)00332-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a three-species delayed Lotka-Volterra system without delayed interspecific competitions is considered. It is proved that the system is globally stable for all off-diagonal delays tau(ij) greater than or equal to 0(i not equal j, i, j = 1, 2, 3) if and only if the interaction matrix of the system satisfies condition (WDD). (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：301 / 306

页数：6

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