Stability and Hopf bifurcation for a prey-predator model with prey-stage structure and diffusion.
In this paper, we first propose a prey-predator model with prey-stage structure and diffusion. Then we discuss the following three problems: (1) stability of non-negative constant steady states for the reduced ODE system and the corresponding reaction diffusion system with homogeneous Neumann boundary conditions; (2) Hopf bifurcation for the ODE system; (3) Hopf bifurcation created by diffusion.
Wang
Mingxin
M
Department of Mathematics, Southeast University, Nanjing 210018, PR China. mxwang@seu.edu.cn
D000818:Animals; D003198:Computer Simulation; D008954:Models, Biological; D011157:Population Dynamics; D011235:Predatory Behavior