Abstract: Aiming at the anti-predation phenomenon in predation system, a predator-prey model with anti-predation effect is established. Firstly, the dynamic behavior of the model is studied, and the influence of anti-predation factor on the existence and stability of the equilibria is analyzed. Secondly, in order to restrain the excessive growth of prey population in the system, feedback control is applied to the system, and a predator-prey model based on feedback control is established. The existence and stability of order-1 periodic solution of the system are analyzed by using the method of successive functions and the analogue of the Poincaré criterion. Finally, numerical simulations are given to verify the obtained results.