摘要
研究一类具有时滞的Watt型功能性反应的捕食模型,通过分析正平衡点处的特征方程,讨论了该系统正平衡点的稳定性.应用Hopf分支理论,得到了该系统产生Hopf分支的条件.
A Watt-type functional response predator-prey system with time delay is studied. By analyzing the characteristic equation of the linearized system of original system at the positive equilibrium, the system＇s stability at the positive equilibrium are discussed. By applying the theorem of Hopf bifurcation, the existence of Hopf bifurcation of the system is obtained.
出处
《纯粹数学与应用数学》
CSCD
2010年第5期798-803,共6页
Pure and Applied Mathematics
基金
西北大学研究生自主创生项目(08YZZ31)
关键词
捕食系统
Watt型
时滞
正平衡点
HOPF分支
predator-prey system, Watt-type, time delay, positive equilibrium, Hopf bifurcation.
