一类具有比率依赖的HollingⅣ和Leslie型捕食-食饵模型  

A Ratio-Dependent Predator-Prey System with Holling Ⅳ-Leslie

作　　者：孙凤欣[1] 林怡平[1] 

机构地区：[1]昆明理工大学,云南昆明650093

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

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.

关 键 词：HOPF分支 比率依赖 极限环 平衡点 

分 类 号：O211[理学—概率论与数理统计]