摘要
研究了具有时滞的Holling-III型捕食-食饵系统,其中捕食者的数量反应具有leslies形式.采用常微分定性与稳定性方法,推出了当τ=0时,正平衡点全局稳定性的充分条件,并考虑了时滞对于模型稳定性的影响,选取时滞τ作为分支参数,得出了在正平衡点附近产生Hopf分支.
A predator-prey system with delay HoUing-Ⅲ functional response is studied , but the predator＇s numerical response has Leslie form.The sufficient condition of the global stability of positive equilibrium point is obtained by ordinary differential qualitative and stability method when τ= 0. The impact of the time delay on the stability of the model is considered by choosing the delay time τ as a bifurcation parameter,the existence of Hopf bifurcation is also found.
出处
《纯粹数学与应用数学》
CSCD
2009年第1期190-194,共5页
Pure and Applied Mathematics
基金
陕西省自然科学基金项目(2003A07).
