Positive solutions of a prey–predator model with predator saturation and competition

In this paper, we study the existence, multiplicity, bifurcation and stability of positive solutions to a prey–predator model with predator saturation and competition{−Δu=u(a−u−bvf(u,v)),x∈Ω,−Δv=v(c−v+duf(u,v)),x∈Ω,u=v=0,x∈∂Ω, wheref(u,v)=1(1+αu)(1+βv), and parameters are all positive constants, and u and v are the densities of the prey and predator, respectively.