Abstract: This paper is devoted to a delayed cooperation-diffusion-advection system with Dirichlet boundary conditions. Firstly we discuss the existence and stability of the positive steady state. Secondly we show that an increasing delay will destabilize the positive steady state and lead to the occurrence of Hopf bifurcation when the delay crosses through the critical bifurcation points.

Key words: Cooperation-diffusion-advection ,  Stability ,  Hopf bifurcation