Permanence and global attractivity of the discrete Gilpin-Ayala type population model

被引：25
作者：
Chen, Fengde [1 ]
Wu, Liping
Li, Zhong
机构：
[1] Fuzhou Univ, Coll Math & Comp Sci, Fujian 350002, Peoples R China
[2] Fujian Minjiang Univ, Dept Math, Fujian 350108, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 08期
基金：
中国国家自然科学基金;
关键词：
nonautonomous; Gilpin-Ayala competition model; positive periodic solution; discrete; permanence; global attractivity;
D O I：
10.1016/j.camwa.2006.12.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a discrete Gilpin-Ayala competition model and a discrete Gilpin-Ayala type multispecies competition-predator model. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained; For periodic case, sufficient conditions which ensure the existence of an unique globally stable positive periodic solution of the system are obtained. An example together with its numeric simulations shows the feasibility of the main results. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1214 / 1227
页数：14
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