Periodic solution of prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control
Summary: A prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control is investigated. We obtain sufficient conditions of the global asymptotical stability of the system without impulsive effects. By using the geometry theory of semicontinuous dynamic systems and the method of successor functions, we obtain a system with impulsive effects that has an order one periodic solution, and sufficient conditions for existence and stability of order one periodic solutions are also obtained. Finally, numerical simulations are performed to illustrate our main results.
scientific article; zbMATH DE number 6169945