The persistence in a Lotka-Volterra competition systems with impulsive

被引：23

作者：

Zhen, J ^{[1
]}

Han, M

Li, GH

机构：

[1] N China Univ Technol, Dept Math, Taiyuan 030051, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Appl Math, Shanghai 200030, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2005年 / 24卷 / 04期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.chaos.2004.09.065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a nonautonomous two-dimensional competitive Lotka-Volterra system with impulsive is considered. we study the persistence and extinction, giving two inequalities involving averages of the growth rates and impulsive value, which guarantees persistence of the system. An extension of the principle of competition exclusion is obtained in this paper. Moreover, several examples are also worked out, they show that the impulsive can change the persistence of the system. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1105 / 1117

页数：13

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