Dynamic Behaviour of an Eco-Epidemiological model with a Fear, Refuge and Harvesting in Fractional order

Abstract

This study discusses the fractional order to examine how fear, refuge, and harvesting affect the dynamic behavior of the predator-prey interaction. The model has been used as the functional response of Crowley Martin in a non-delayed model. The eigenvalues of a model are used to test its stability using critical points. Furthermore, the boundlessness, uniqueness, existence, and positivity of the solutions have been studied. The locally asymptotically stable model has been analyzed using the critical points and the globally asymptotically stable model has been examined using the Lyapunov function. The incidence of Hopf bifurcation for fractional order has been examined. Finally, the analytical solutions are confirmed through numerical simulations.