文章基本信息

标题：Boundedness and Global Stability for a Predator-Prey System with the Beddington-DeAngelis Functional Response
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作者：Wahiba Khellaf ; Nasreddine Hamri
期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2010
卷号：2010
DOI：10.1155/2010/813289
出版社：Hindawi Publishing Corporation
摘要：We study the qualitative behavior of a class of predator-prey models with Beddington-DeAngelis-type functional response, primarily from the viewpoint of permanence (uniform persistence). The Beddington-DeAngelis functional response is similar to the Holling type-II functional response but contains a term describing mutual interference by predators. We establish criteria under which we have boundedness of solutions, existence of an attracting set, and global stability of the coexisting interior equilibrium via Lyapunov function.