Stable periodic solution of a discrete periodic Lotka-Volterra competition system

被引：76
|
作者：
Chen, YM [1 ]
Zhou, Z
机构：
[1] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
[2] Hunan Univ, Dept Math Appl, Changsha 410082, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 277卷 / 01期
关键词：
Lotka-Volterra competition system; persistence; periodic solution; global stability;
D O I：
10.1016/S0022-247X(02)00611-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper discusses a discrete Lotka-Volterra competition system. We first obtain the persistence of the system. Assuming that the coefficients in the system are periodic, we obtain the existence of a periodic solution. Moreover, under some additional conditions, this periodic solution is globally stable. Our results not only reduce to those for the scalar equation when there is no coupling but also improve and complement some in the literature. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：358 / 366
页数：9
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