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.
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页码：2810 / 2816
页数：7
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