一类具有两个时滞的捕食—食饵系统的Hopf分支  

Hopf Bifurcation of a Predator-Prey System with Two Delays

作　　者：王新秀[1] 窦霁虹[1] 王艳霜[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《延安大学学报（自然科学版）》2009年第3期10-13,共4页Journal of Yan'an University：Natural Science Edition

基　　金：西北大学研究生创新基金资助项目(08YZZ31)

摘　　要：研究了一类具有两个时滞的捕食—食饵系统,通过分析正平衡点处的特征方程,讨论了正平衡点的稳定性;以时滞τ1、τ2作为分支参数,应用Hopf分支理论,得到了系统存在Hopf分支的充分条件。A predator-prey system with two delays was considered.By analyzing the characteristic equation of the linearized system of original system at the positive equilibrium,the stability of the positive equilibrium is discussed.By regarding the delays,as the bifurcation parameters and by applying the theorem of Hopf bifurcation,the sufficient conditions of the positive equilibrium occurring Hopf bifurcations are given.

关 键 词：捕食—食饵系统 平衡点 时滞 HOPF分支 

分 类 号：O175.14[理学—数学]