Coexistence solutions of a periodic competition model with nonlinear diffusion

This paper is concerned with a spatially heterogeneous Lotka–Volterra competition model with nonlinear diffusion and nonlocal terms, under the Dirichlet boundary condition. Based on the theory of Leray–Schauder’s degree, we give sufficient conditions to assure the existence of coexistence periodic solutions, which extends some results of G. Fragnelli et al.