具时滞基于比率的HollingIV-Leslie型系统的Hopf分支

Hopf Bifurcation for a Ratio-Dependent Delayed System with HollingIV-Leslie

本文研究了一类基于比率Holling-IV型功能性反应且具有时滞Leslie形式的捕食者数量反应的种群竞争模型,得出了Hopf分支的存在性的充分条件。

The present paper studies a predator - prey system with ratio - dependent Holling - Ⅳ functional response and the predator＇s numerical response with delayed Leslie and gives the adequate condition for the Hopf bifurcation＇s existence of positive equilibrium.