News & Announcements
Links
Hopf Bifurcation Analysis of a Host-generalist Parasitoid Model with Diffusion Term and Time Delay
  
View Full Text  View/Add Comment  Download reader
KeyWord:Delay; Diffusion; Turing instability; Hopf bifurcation
Author NameAffiliation
Zijun Liu Department of Mathematics, Northeast Forestry University, Harbin, Heilongjiang 150040, China 
Ruizhi Yang Department of Mathematics, Northeast Forestry University, Harbin, Heilongjiang 150040, China 
Hits: 24
Download times: 41
Abstract:
      In this paper, we studied a delayed host-generalist parasitoid model with Holling II functional response and diffusion term. The Turing instability and local stability are studied. The existence of Hopf bifurcation is investigated, and some explicit formulas for determining the bifurcation direction and the stability of the bifurcating periodic solution are derived by the theory of center manifold and normal form method. Some numerical simulations are carried out.