【摘要】 研究了具有简化Holling-IV功能反应函数捕食-食饵模型二阶细焦点的Hopf分岔问题.运用隐函数存在定理,证明了该模型二阶细焦点确定的系数经扰动后在其邻域内有二个极限环.更多还原

【Abstract】 We discuss the problem of Hopf’s bifurcation of a fine focus of order 2 for a predator-prey model with simplified Holling-IV functional response.By means of the implicit function theorem,we prove that the number of limit cycles,which are produced in the neighborhood of the fine focus by perturbing this predator-prey system,is two.更多还原