Dynamical Analysis of a Fractional Predator-Prey Model with Holling-Type Functional Response and Stage Structure

Abstract

In this study, we consider a fractional-order predator-prey model with a Holling-type functional response and stage structure for the prey. This study involved analyzing the existence and uniqueness of nonnegative solutions of the system. Conditions for the local asymptotic stability of the equilibria are established, and controllers are designed for the global asymptotic stability of the interior equilibrium. Furthermore, numerical simulations are performed to illustrate the results.