文章基本信息

标题：Dynamical Analysis in a Delayed Predator-Prey System with Stage-Structure for Both the Predator and the Prey
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作者：Zizhen Zhang ; Huizhong Yang
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：2014
卷号：2014
DOI：10.1155/2014/909238
出版社：Hindawi Publishing Corporation
摘要：A predator-prey system with two delays and stage-structure for both the predator and the prey is considered. Sufficient conditions for the local stability and the existence of periodic solutions via Hopf bifurcation with respect to both delays are obtained by analyzing the distribution of the roots of the associated characteristic equation. Specially, the direction of the Hopf bifurcation and the stability of the periodic solutions bifurcating from the Hopf bifurcation are determined by applying the normal form theory and center manifold argument. Some numerical simulations for justifying the theoretical analysis are also provided.