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.
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页码：170 / 174
页数：5
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