Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 50, pp. 1-13.

Title: Stability and bifurcation in a delayed predator-prey
       system with stage structure and functional response 
   
Authors: Xiao Zhang (Mech. Engineering College, Shijiazhuang, China)
         Rui Xu     (Mech. Engineering College, Shijiazhuang, China)
	 Qintao Gan (Mech. Engineering College, Shijiazhuang, China)

Abstract:
 In this paper, a delayed predator-prey system with
 stage structure and Holling type-II functional response is
 investigated. The local stability of a positive equilibrium and the
 existence of Hopf bifurcations are established. By using the normal
 form theory and center manifold reduction, explicit formulae
 determining the stability, direction of the bifurcating periodic
 solutions are derived. Finally, numerical simulations are carried
 out to illustrate the theoretical results.
 
Submitted September 16, 2008. Published April 07, 2009.
Math Subject Classifications: 34K18, 34K20, 34K60, 92D25.
Key Words: Time delay; stage structure; stability;  
           Hopf bifurcation; functional response.