Analysis Of A Diffusive Predator-prey Model With Predator Allee Effect

This paper is devoted to investigating a diffusive predator-prey system with Allee effects in predators subject to Neumann boundary conditions.We establish the existence,stability and Turing instability of constant steady-state solutions.Hopf bifurcation analysis is carried out in detail,then the existence and nonexistence of nonconstant positive steady-state solutions are discussed for different diffusion coefficients.Our studies show that spatial heterogeneity of environment can make predator-prey system with Allee effects in predators exhibit more complex dynamic properties.