News & Announcements
Links
Bogdanov-Takens Bifurcation in a Host-parasitoidModel
  
View Full Text  View/Add Comment  Download reader
KeyWord:Host-parasitoid model  Holling II functional response  Bogdanov- Takens bifurcation
Author NameAffiliation
Chuang Xiang School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei 430074, China 
Ming Lu School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei 430074, China 
Jicai Huang School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei 430074, China 
Hits: 223
Download times: 560
Abstract:
      In this paper, we study a host-parasitoid model with Holling II Functional response, where we focus on a special case: the carrying capacity K2 for parasitoids is equal to a critical value r 1η. It is shown that the model can undergo Bogdanov-Takens bifurcation. The approximate expressions for saddle-node, Homoclinic and Hopf bifurcation curves are calculated. Numerical simulations, including bifurcation diagrams and corresponding phase portraits, are also given to illustrate the theoretical results.