应用数学2012，Vol.25Issue(4)：816-823,8.
具有状态脉冲效应的阶段结构的害虫防治模型动力性分析
Analysis of the Dynamics of Stage-structured Pest Control Model
摘要
Abstract
In this paper,a stage-structured pest control model with state-dependent impulsive control is considered.Firstly,the definitions of the semi-continuous dynamic systems,successor functions and order one periodic solution are introduced.Secondly,according to the differential equation geometry theory and the method of successor functions,the sufficient conditions for the existence,uniqueness and orbitally asymptotical stability of order one periodic solution are obtained.The results show that,the pest population can be controlled below an economic injury level by applying effects impulsively once,twice,or at most,finite times.Finally,our results are confirmed by means of numerical simulation.Our results show that our method used in this paper is more efficient and easier than the existing methods to prove the existence and attractiveness of order one periodic solution.关键词
半连续动力系统/阶一周期解/后继函数/轨道渐近稳定Key words
Semi-continuous dynamic system/Order one periodic solution/Successor function/Orbitally asymptotical stable分类
数理科学引用本文复制引用
程惠东,尹佐元,刘洪霞..具有状态脉冲效应的阶段结构的害虫防治模型动力性分析[J].应用数学,2012,25(4):816-823,8.基金项目
Supported by the National Natural Science Foundation of China(10872118) （10872118）
