Continuous threshold harvesting in a gause-type predator-prey model with fractional-order

Harvesting policy is an important issue in maintaining the existence of a population. This paper is focused on studying the effects of continuous predator threshold harvesting policy on the dynamical behavior of a fractional-order Gause-type predator-prey system. This policy is applied to ensure that harvesting does not occur when the population density is less than a specified threshold. The dynamical analysis is done to study the local stability of equilibrium points and the existence of Hopf bifurcation. By using a fractional-order predictor-corrector method, the numerical results are shown to illustrate the analytical result.