Dynamics of the oscillative solution for a non-linear ecosystem with impulsive perturbation
In the present paper, we investigate an impulsive predator-prey model of integrated pest management(IPM) strategy.Other than the general Hollings functional response, an S-shaped mixed functional response is considered, simultaneously, we model this system assuming that the releasing of nature enemies and spraying of pesticides are impulsive at different fixed moment, which is more realistic comparing with at the same time.With the help of Floquets theorem, small amplitude perturbation skills and comparison theorem involving multiple Liapunov functions, we show that under some sufficient conditions, the system exists an oscillative pest eradication periodic solution, which is local stable and globally attractive.Otherwise, the system is permanent.This result(threshold) provides us a very useful information for the control of ecosystem.
Oscillative Periodic solution Impulsive Stable
Yuanshun Tan Hong Zhang
School of science,Chongqing Jiaotong University,Chongqing,400074,P.R.China
国际会议
上海
英文
474-478
2012-10-19（万方平台首次上网日期，不代表论文的发表时间）