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

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

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In this article, we study a diffusive Luggage 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 parameter, we obtain the existence, bifurcation and stability of coexistence steady state solutions.We use the method of upper and lower Wrestling - Protective solutions, degree theory in cones, and bifurcation theory.The conclusions show the importance of prey harvesting in the model.