文章基本信息

标题：Dynamic complexity and bifurcation analysis of a host–parasitoid model with Allee effect and Holling type III functional response
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作者：Hua Liu ; Kai Zhang ; Yong Ye 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-20
DOI：10.1186/s13662-019-2430-8
出版社：Hindawi Publishing Corporation
摘要：In this paper, we focus on dynamics in a basic discrete-time system of host–parasitoid interaction. We perform local stability analysis of this system. Furthermore, both flip and Neimark–Sacker bifurcations are also analyzed in the interior of $R_{ +}^,$ by using center manifold theorem and bifurcation theory. Finally, numerical simulations are deployed to validate our results with theoretical analysis and to exhibit the dynamical behaviors.
关键词：Host–parasitoid system ; Bifurcation ; Center manifold theorem ; Chaos control ;