Bifurcation analysis in a predator-prey model for the effect of delay in prey  

作　　者：Qiubao Wang 

机构地区：[1]Department of Mathematics and Physics Shijiazhuang Tiedao University Shijiazhuang 050043, P. R. China

出　　处：《International Journal of Biomathematics》2016年第4期219-237,共19页生物数学学报（英文版）

摘　　要：In this paper, we study dynamics in a predator-prey model with delay, in which predator can be infected, with particular attention focused on nonresonant double Hopf bifurca- tion. By using center manifold reduction methods, we obtain the equivalent normal forms near a double Hopf critical point in this system. Moreover, bifurcations are classified in a two-dimensional parameter space near the critical point. Numerical simulations are presented to demonstrate the applicability of the theoretical results.

关 键 词：PREDATOR-PREY DELAY double Hopf bifurcation. 

分 类 号：O322[理学—一般力学与力学基础] Q141[理学—力学]