Convergence of solutions for Volterra-Lotka prey-predator systems with time delays

被引：3

作者：

Li, Yanling ^{[1
]}

Wu, Jianhua ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Dept Math, Xian 710062, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 02期

关键词：

Time delay; Upper-lower solutions; Asymptotic stability; Prey-predator model; Coexistence; REACTION-DIFFUSION SYSTEMS; STABILITY;

D O I：

10.1016/j.aml.2008.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with N-species prey-predator systems with time delays. The aim of this work is to obtain a sufficient condition for asymptotic behavior of the time-dependent solution and the existence of a positive steady-state solution. The result of global asymptotic stability implies that all of the model systems coexist; the trivial and all kinds of semitrivial solutions are unstable. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：170 / 174

页数：5

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