Necessary and sufficient conditions for permanence and extinction in a three dimensional competitive Lotka-Volterra system

被引：8
|
作者：
Zhao, Jiandong [1 ]
Zhang, Zhengchun [1 ]
Ju, Jing [1 ]
机构：
[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 230卷
关键词：
Lotka-Volterra system; Permanence; Extinction; AVERAGE CONDITIONS; EXCLUSION; EQUATIONS;
D O I：
10.1016/j.amc.2013.12.140
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A three dimensional nonautonomous competitive Lotka-Volterra system is considered in this paper. It is shown that if the growth rates are positive, bounded and continuous functions, and the averages of the growth rates satisfy certain inequalities, then any positive solution has the property that one of its components vanishes. Moreover, if one of the above inequalities is changed, then all components of any positive solution have positive infimum. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：587 / 596
页数：10
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