文章基本信息

标题：Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses
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作者：Changjin Xu ; Maoxin Liao
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2011
卷号：2011
DOI：10.1155/2011/970763
出版社：Hindawi Publishing Corporation
摘要：A discrete predator-prey model with Holling II and Beddington-DeAngelis functional responses is investigated. With the aid of differential equations with piecewise constant arguments, a discrete version of continuous nonautonomous delayed predator-prey model with Beddington-DeAngelis functional responses is proposed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive solutions of the model are established.