In order to study the dynamics of the predator-prey model with Allee effect in two patch environments
the effects of diffusion on the population in two patch environments are analyzed. The positivity and the ultimate boundedness of the solutions are obtained
also the existence and the stability of the equilibrium points are proved. It is concluded that when the diffusion coefficient is large enough
the equilibrium points are unstable. However
when the diffusion coefficient is small enough
there are two equilibrium points which are both locally asymptotically stable
which phenomenon is caused by the Allee effect in this model. Finally
the numerical simulations are carried out to verify the obtained results.