Stability and Hopf bifurcation of a single population delayed reaction-diffusion model with Dirichlet boundary condition
In this paper,the dynamics of a single population delayed reaction-diffusion model with Dirichlet boundary condition in a bounded domain is studied.The stability of spatially non-homogeneous steady-state solution at the spatial non-homogeneous steady and the existence of Hopf bifurcation of model are derived by selecting the time delay as the branching parameter and analyzing the eigenvalue problem of the model linearize-state solution.