一类具有Holling Ⅱ型和Allee效应的食饵捕食模型的局部稳定性和Hopf分支(英文)  

Local Stability and Hopf bifurcation of a Predator-prey Model with Holling-type Ⅱ and Allee Effect

作　　者：潘孝红[1] 

机构地区：[1]南京财经大学应用数学学院,江苏省南京市210046

出　　处：《曲阜师范大学学报（自然科学版）》2012年第3期7-12,共6页Journal of Qufu Normal University(Natural Science)

摘　　要：对一类具有Allee效应和时滞的食饵捕食模型进行了分析.在无时滞时,讨论了模型中平衡点的局部稳定性.在正时滞情况下,给出了局部稳定性和Hopf分支存在的充分条件.文中还给出两个例子对结果进行了验证.In this paper, a predator-prey model with Allee effect and time delay is considered. The local stability of equilibria is discussed for this model without time delay. Under the positive delay, the sufficient conditions of the local stability and Hopf bifurcations are given. Two examples are presented to illustrate these results by numerical simulations.

关 键 词：时滞 稳定性 HOPF分支 

分 类 号：O175[理学—数学]