一类带有Holling Ⅱ类功能性反应和相互干扰及脉冲效应的捕食系统

摘要

A kind of predator-prey system of Holling type Ⅱ 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.