Delay effect on the permanence for Lotka-Volterra cooperative systems

被引：24

作者：

Lu, Guichen ^{[2
]}

Lu, Zhengyi ^{[1
,2
]}

Lian, Xinze ^{[3
]}

机构：

[1] Sichuan Normal Univ, Dept Math, Chengdu 610058, Peoples R China

[2] Acad Sinica, Inst Comp Applicat, Chengdu 610041, Peoples R China

[3] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 04期

关键词：

Lotka-Volterra system; Cooperative; Discrete delay; Permanence; GLOBAL STABILITY; FACULTATIVE MUTUALISM; DIFFERENTIAL SYSTEMS; ATTRACTIVITY; PERSISTENCE;

D O I：

10.1016/j.nonrwa.2009.10.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that delays can change the permanence for Lotka-Volterra cooperative systems. For certain delays with the same length, the delayed system has a similar property to the corresponding system without delays in the sense of permanence, but for a general delay case, the delays may destroy the permanence for the system. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2810 / 2816

页数：7

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