Note on the Persistence of a Nonautonomous Lotka-Volterra Competitive System with Infinite Delay and Feedback Controls

被引：2

作者：

Shi, Chunling ^{[1
]}

Wang, Yiqin ^{[2
]}

Chen, Xiaoying ^{[1
]}

Chen, Yuli ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Zhicheng, Fuzhou 350002, Fujian, Peoples R China

[2] Fuzhou Fujian Inst Educ, Dept Sci Res, Fuzhou 350001, Fujian, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷

关键词：

GLOBAL ASYMPTOTIC STABILITY; PERIODIC-SOLUTIONS; AVERAGE CONDITIONS; PURE-DELAYS; PERMANENCE; EXTINCTION; ATTRACTIVITY; EXISTENCE; MODEL;

D O I：

10.1155/2014/682769

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonautonomous Lotka-Volterra competitive system with infinite delay and feedback controls. We establish a series of criteria under which a part of n-species of the systems is driven to extinction while the remaining part of the species is persistent. Particularly, as a special case, a series of new sufficient conditions on the persistence for all species of system are obtained. Several examples together with their numerical simulations show the feasibility of our main results.

引用

页数：9

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