Partial survival and extinction in two competing species with impulses

被引:12
|
作者
Wang, Weibing [1 ]
Shen, Jianhua [2 ]
Luo, Zhiguo [3 ]
机构
[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
[2] Coll Huaihua, Dept Math, Huaihua 418008, Hunan, Peoples R China
[3] Jishou Univ, Dept Math, Jishou 416000, Hunan, Peoples R China
关键词
Lotka-Volterra system; Impulse; Competition; Permanence; Extinction; LOTKA-VOLTERRA SYSTEM; STABILITY;
D O I
10.1016/j.nonrwa.2007.11.012
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we have considered a nonautonomous two dimensional Lotka-Volterra system with impulsive effect. We prove that one of components will be driven to extinction while the other will stabilize at a certain solution of a impulsive logistic equation under some conditions. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1243 / 1254
页数:12
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