A Stage-Structured Predator-Prey System with Impulsive Effect and Holling Type-Ⅱ Functional Response

摘要

A stage-structured predator-prey system with impulsive effect and Holling type-Ⅱ functional response is investigated.By the Floquet theory and small amplitude perturbation skills,it is proved that there exists a global stable pest-eradication periodic solution when the impulsive period is less than some critical values.Further,the conditions for the permanence of system are established.Numerical simulations are carried out to illustrate the impulsive effect on the dynamics of the system.