On almost periodic processes in impulsive competitive systems with delay and impulsive perturbations

被引：36

作者：

Ahmad, Shair ^{[1
]}

Stamov, Gani Tr ^{[2
]}

机构：

[1] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA

[2] Tech Univ Sofia, Sliven 8800, Bulgaria

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 05期

关键词：

Almost periodic solution; Impulsive N-dimensional competitive systems; Infinite delay; ASYMPTOTIC STABILITY;

D O I：

10.1016/j.nonrwa.2008.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we investigate the existence of almost periodic processes of ecological systems which are presented with the general impulsive nonautonomous Lotka-Volterra system of integro-differential equations with infinite delay. The impulses are at fixed moments of time, and by using the techniques of piecewise continuous Lyapunov's functions, new sufficient conditions for the global exponential stability of the unique positive almost periodic solutions of these systems are given. (C) 2009 Published by Elsevier Ltd

引用

页码：2857 / 2863

页数：7

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