Hopf bifurcation in a two-species reaction-diffusion-advection competitive model with nonlocal delay

In this paper, we are concerned with a two-species reaction-diffusion-advection competitive model nonlocal delay subject to the homogeneous Dirichlet boundary conditions. The existence of spatially inhomogeneous steady state is studied by using implicit function theorem. stability and associated Hopf bifurcation investigated analyzing non-self-adjoint linear operator. Taking time as parameter, obtain critical value for switch phenomenon.