Permanence of a delayed non-autonomous Gilpin-Ayala competition model

被引：9
作者：
Chen, Fengde [1 ]
机构：
[1] Fuzhou Univ, Coll Math & Comp Sci, Fujian 350002, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 179卷 / 01期
基金：
中国国家自然科学基金;
关键词：
competition; delay; Gilpin-Ayala competition system; lower average; upper average; permanence;
D O I：
10.1016/j.amc.2005.11.079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a delayed non-autonomous n-species Gilpin-Ayala competitive system, which is more general and more realistic then classical Lotka-Volterra competition model. By means of Ahmad and Lazer's definitions of lower and upper averages of a function, we give the average conditions for the permanence of the system. It is shown that our result is the generalization of those of Zhao et al. [J.D. Zhao, J.F. Jiang, A.C. Lazer, The permanence and global attractivity in a nonautonomous Lotka-Volterra system, Nonlinear Analysis: Real World Applications, 5 (4) (2004), 265-276]. Our results also supplement the results of Fan and Wang [M. Fan, K. Wang, Global periodic solutions of a generalized n-species Gilpin-Ayala competition model, Computer and Mathematics with Applications, 40 (2000), 1141-1151]. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：55 / 66
页数：12
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