Dynamical analysis for a fractional-order prey-predator model with Holling III type functional response and discontinuous harvest.

In this letter, a fractional-order prey–predator model with Holling III type functional response and discontinuous harvest is considered. The non-negative and boundedness of the model are proved. In addition, some conditions for the existence and stability of the positive equilibrium point are proposed. Finally, numerical simulations are given to confirm the correctness of theorem.