Stability of aaaa Predator-Prey Diffusion Model with Stage-Structure

摘要

In this paper, a diffusive predator-prey model with stage structure for predator is studied. The stability of the nonnegative steady for the ODE system is analyzed by linearization, and a Hopf bifurcation is found occurring in the ODE system. Finally, the same question for the corresponding reaction-diffusion with homogeneous Neumann boundary conditions is also considered.