摘要
本文考虑一类简化的具有比率依赖的Holling Ⅳ和Leslie型捕食-食饵模型.针对参数的特定值,证明了模型具有不稳定焦点,其附近有稳定极限环.并又在三个参数中选定了分支参数,当分支参数取值在小邻域内扰动时,模型出现Hopf分支.文中最后给出了数值模拟来说明这些结论。
A predator- prey model with simplified ratio -dependent Holling type -Ⅳ and Leslie type predator numerical response is considered. It is shown that the model has an unstable focus and a stable limit cycle in a small neighborhood of the focus for some values of parameters. The parameter of bifurcation is fixed. When the parameter varies in a small neighborhood of the value of it, the model undergoes the Hopf bifurcation Some computer simulations are presented to illustrate the conclusions.
出处
《宁波工程学院学报》
2007年第4期37-41,共5页
Journal of Ningbo University of Technology
关键词
HOPF分支
比率依赖
极限环
平衡点
Hopf bifurcation, ratio- dependent, limit cycle, equilibrium
