一类关于Leslie-Gower捕食-被捕食时滞模型的局部Hopf分岔分析  

Bifurcations for a Delayed Leslie-Gower Predator-prey System

作　　者：张文[1] 刘海鸿[1] 张健[1] 

机构地区：[1]云南师范大学数学学院

出　　处：《云南师范大学学报（自然科学版）》2012年第1期42-47,共6页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：天元基金资助项目(10926167)

摘　　要：主要研究时滞Leslie-Gower捕食-被捕食微分模型,将时滞τ作为分岔参量,讨论了正平衡点及分岔的存在性。进一步,应用规范理论与中心流形定理,判断了分岔的方向与周期解的稳定性。并给出了实例与数值模拟。This time delay. By rium and Hopf the stability of and the center simulations are paper is concerned with a two species Leslie-Gower predator-prey system with regarding the delay ras the bifurcation parameter, the stability of positive equilib- bifurcations are investigated. Furthermore, the direction of Hopf bifurcations and bifurcating periodic solutions are determined by applying the norm form theory manifold theorem for functional differential equations. Finally, some numerical carried out for illustrating the theoretical results at the end of this paper.

关 键 词：LESLIE-GOWER 时滞 中心流形 HOPF分岔 

分 类 号：O175.12[理学—数学]