文章基本信息

标题：Hopf Bifurcation Analysis in a Delayed Ratioin-dependent Gause-type Predator -prey Model
本地全文：下载
作者：Shuang Guo ; Ling Zhang
期刊名称：International Journal of Multimedia and Ubiquitous Engineering
印刷版ISSN：1975-0080
出版年度：2015
卷号：10
期号：2
页码：111-120
DOI：10.14257/ijmue.2015.10.2.10
出版社：SERSC
摘要：A class of delayed ratio-dependent Gause-type predator-prey model is considered. Firstly, we study the eigenvalue problem for the linearized system at the coexisting equilibrium and a group of sufficient conditions for the existence of Hopf bifurcation are obtained. Secondly, the direction of the Hopf bifurcation and the stability of the bifurcated periodic solutions are determined by applying the normal form method and the center manifold theorem. Finally, some numerical simulations are carried out to illustrate the obtained results.
关键词：Gause-type model; Ratio-dependent; Hopf bifurcation