Impact of Fear and Strong Allee Effects on the Dynamics of a Fractional-Order Rosenzweig-MacArthur Model

This paper discusses the impact of fear and strong Allee on the dynamical behaviors of the prey and predator relationship following the Rosenzweig-MacArthur model using fractional-order derivative as the operator. As results, four equilibrium points are identified namely the origin point, a pair of axial points, and the interior point. The origin is always locally asymptotically stable while others are conditionally asymptotically stable. The occurrence of transcritical bifurcation around the axial and Hopf bifurcation in the interior are also successfully investigated. The numerical simulations are conducted to support analytical findings. Some interesting dynamics such as forward bifurcation and bistability condition are also provided numerically.