具有记忆扩散和成熟时滞的反应扩散对流模型的Hopf分支

reaction-diffusion-advection model with memory effect and maturation delay subject to homogeneous Dirichlet boundary conditions is investigated in this paper. Firstly, the existence and stability of a non-constant positive steady state is established, Then, the Hopf bifurcation near the steady state was investigated by analyzing the corresponding characteristic equation. It is found that the memory-based diffusion is favorable for the stability of the positive steady state when the maturation delay term is dominant. Finally, it is obtained that when the advection rate is within a certain range, the introduction of advection slows down the occurrence of Hopf bifurcation to a certain extent.