期刊
CHAOS SOLITONS & FRACTALS
卷 34, 期 2, 页码 606-620出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2006.03.068
关键词
-
A predator-prey model with simplified Holling type-IV functional response and Leslie type predator's numerical response is considered. It is shown that the model has two non-hyperbolic positive equilibria for some values of parameters, one is a cusp of co-dimension 2 and the other is a multiple focus of multiplicity one. When parameters vary in a small neighborhood of the values of parameters, the model undergoes the Bogdanov-Takens bifurcation and the subcritical Hopf bifurcation in two small neighborhoods of these two equilibria, respectively. And it is further shown that by choosing different values of parameters the model can have a stable limit cycle enclosing two equilibria, or a unstable limit cycle enclosing a hyperbolic equilibrium, or two limit cycles enclosing a hyperbolic equilibrium. However, the model never has two limit cycles enclosing a hyperbolic equilibrium each for all values of parameters. Some computer simulation are presented to illustrate the conclusions. (C) 2006 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据