文章基本信息

标题：Multiple Bifurcations and Chaos in a Discrete Prey-Predator System with Generalized Holling III Functional Response
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作者：Xia Liu ; Yanwei Liu ; Qiaoping Li 等
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：2015
卷号：2015
DOI：10.1155/2015/245421
出版社：Hindawi Publishing Corporation
摘要：A prey-predator system with the strong Allee effect and generalized Holling type III functional response is presented and discretized. It is shown that the combined influences of Allee effect and step size have an important effect on the dynamics of the system. The existences of Flip and Neimark-Sacker bifurcations and strange attractors and chaotic bands are investigated by using the center manifold theorem and bifurcation theory and some numerical methods.