具有时滞和不育控制的捕食模型的Hopf分支  

Hopf Bifurcation of a Predator-prey Model with Time Delays and Contraception Control

作　　者：李秋英[1,2] LI Qiuying(School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006 China Department of Applied Mathematics, Yuncheng University, Yuncheng 044000 China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006 [2]运城学院应用数学系,山西运城044000

出　　处：《郑州大学学报（理学版）》2016年第4期23-26,共4页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11371313);运城学院科研项目(XK2012003)

摘　　要：研究了具有时滞和不育控制的捕食者-食饵模型.首先利用特征根和分支理论等方法获得了平衡点稳定性,其次讨论了正平衡点附近发生Hopf分支的条件,最后给出了数值模拟.A predator-prey system with delayed and contraception control was studied. Firstly,stability of the nonnegative equilibrium and the existence of Hopf bifurcation were investigated by using some meth-ods such as characteristic root and bifurcation etc. Secondly,Hopf bifurcation was demonstrated by regard-ing the delay as the bifurcation parameter. Finally, numerical simulations supporting theoretical results were also given.

关 键 词：捕食模型 不育控制 时滞 HOPF分支 

分 类 号：O175.13[理学—数学]