Coexistence of steady state for a diffusive prey-predator model with harvesting

In this article, we study a diffusive prey-predator model with modified Leslie-Gower term and Michaelis-Menten type prey harvesting, subject to homogeneous Dirichlet boundary conditions.Treating the prey harvesting parameter as a bifurcation bovi-shield gold fp 5 l5 parameter, we obtain the existence, bifurcation and stability of coexistence steady state solutions.We use here the method of upper and lower solutions, degree theory in cones, and bifurcation theory.The conclusions show the importance of prey harvesting in the model.