Abstract: A kind of predator-prey system of Holling typeⅡ and interaction perturbation with impulsive effect is presented. By using Floquet theory and small amplitude perturbations skills, the locally asymptotical stability of prey-eradication periodic solution and the permanence of the system are discussed and the corresponding threshold conditions are given respectively. Finally, the existence of positive periodic solution is investigated by the bifurcation theory.

Key words: predator-prey system, periodic solution, threshold, asymptotically stable, im- pulsive effect, extinction, permanence