Stability analysis of a fractional-order diffused prey-predator model with prey refuges

In this paper, a fractional-order diffused prey-predator model with prey refuges is considered. The existence, uniqueness, non-negativity and boundedness of the solutions for the model are proved. Moreover, some sufficient conditions are given to ensure the existence and uniform asymptotic stability of the equilibrium point of the studied system. Finally, numerical simulations are presented in order to support the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.