文章基本信息

标题：Permanence and Positive Periodic Solutions of a Discrete Delay Competitive System
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作者：Wenjie Qin ; Zhijun Liu
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2010
卷号：2010
DOI：10.1155/2010/381750
出版社：Hindawi Publishing Corporation
摘要：A discrete time non-autonomous two-species competitive system with delays is proposed, which involves the influence of many generations on the density of species population. Sufficient conditions for permanence of the system are given. When the system is periodic, by using the continuous theorem of coincidence degree theory and constructing a suitable Lyapunov discrete function, sufficient conditions which guarantee the existence and global attractivity of positive periodic solutions are obtained. As an application, examples and their numerical simulations are presented to illustrate the feasibility of our main results.