文献类型：期刊文献

英文题名：Positive periodic solutions of a generalized Gilpin-Ayala competitive systemwith time delays

作者：Miao, Chunfang[1]; Ke, Yunquan[1]

机构：[1] Shaoxing University, Department of Mathematics, Shaoxing [312000], China

年份：2013

卷号：12

期号：3

起止页码：277

外文期刊名：WSEAS Transactions on Mathematics

收录：EI(收录号：20132116354425)、Scopus(收录号：2-s2.0-84877809200)

语种：英文

外文关键词：Asymptotic stability - Time delay - Topology

外文摘要：In this paper, we investigate a generalized Gilpin-Ayala competition system which is more general and more realistic than the classical Lotka-Volterra competition system. By the fixed-point theorem and differential mean value, some sufficient conditions guaranteeing the existence, uniqueness and exponential stability of positive periodic solutions for a generalized Gilpin-Ayala competition system with time delays are given. Two illustrative examples are also given in the end to show the effectiveness of our results.