Dynamical Analysis of a Fractional Order Prey–Predator Model in Crowley–Martin Functional Response with Prey Harvesting

Abstract

In this paper, we investigate a fractional-order predator–prey model incorporating prey harvesting. In a non-delayed model, the Crowley–Martin functional response is studied. We first prove the existence, uniqueness, non-negativity and boundedness of the solutions for the proposed model. Furthermore, the existence of various equilibrium points is analyzed to examine the local asymptotically stable properties, and the suitable Lyapunov function is used to study the globally asymptotic stability. Finally, some numerical simulations are verified for the analytic results.

Keywords

• Crowley–Martin functional response
• existence and uniqueness
• stability