具有离散-时间捕食-食饵模型的稳定性和Neimark-Sacker分支  

Stability of a Discrete-Time Predator-Prey Model and Its Neimark-Sacker Bifurcation

作　　者：叶志勇[1] 豆中丽[1] 夏书银 马文文[1] 

机构地区：[1]重庆理工大学数学与统计学院,重庆400054

出　　处：《西南大学学报（自然科学版）》2013年第9期80-87,共8页Journal of Southwest University(Natural Science Edition)

基　　金：重庆市自然科学基金资助项目(2005BB8085);重庆市教委资助项目(KJ080622)

摘　　要：讨论了一类具有Holling-II功能反应函数的离散-时间捕食-食饵模型在第一象限内的动力学行为,首先分析了系统不动点的稳定性,然后应用中心流形投影法和分支理论,阐释了系统随参数变化而发生Neimark-Sacker分支情形和倍周期分支进入混沌的情形,并给出了数值模拟.This paper investigates the dynamics of a discrete-time predator-prey system with Holling func tional reaction function and discusses the model in the closed first quadrant R＋2. Firstly, the stability of the fixed point in the system is discussed. Then, it is tion method and bifurcation theory that the system modification of parameters and turns into the status concluded on the basis of the center manifold projec generates period-doubling bifurcation along with the chaos and Neimark-Sacker bifurcation. Finally, the results of a numerical simulation are presented.

关 键 词：Holling—Ⅱ功能反应函数 Neimark—Sacker分支 中心流形投影法 

分 类 号：O175.13[理学—数学]