具有多时滞及Holling-Ⅱ类功能反应函数的捕食系统的稳定性和Hopf分支(英文)  

Stability Analysis and Hopf Bifurcation in a Predator System With Time Delays and Holling Type-II Functional Response

作　　者：朱焕[1] 杨洪[1] 

机构地区：[1]黑龙江八一农垦大学理学院,大庆黑龙江163319

出　　处：《数学进展》2016年第4期545-560,共16页Advances in Mathematics（China）

基　　金：Supported by Science and Technology Foundation of Daqing(No.szdfy201547)

摘　　要：本文研究了一类具有多时滞及Holling-II类功能反应函数的食物链系统,给出了系统正解为永久持续生存及全局渐近稳定的充分条件,进而得到了Hopf分支存在的充分条件,最后利用数值模拟验证了所得结论.A food chain model with time delays and Holling type-II functional response is investigated. Sufficient conditions are derived about the permanent persistent survival and the global asymptotic stability of the positive solutions of the system. Furthermore, sufficient con- ditions about the existence of the Hopf bifurcation are obtained. Finally, numerical simulations are carried out to illustrate these conclusions.

关 键 词：多时滞 捕食系统 永久持续生存 全局渐近稳定性 HOPF分支 

分 类 号：O177.91[理学—数学]