一类带有连续投放和脉冲控制的害虫管理SI数学模型  

A Kind of Pest Management Model with Continuous Input and Impulsive Control Strategies

作　　者：陶有德[1,2] 王霞[2] 于景元[1] 

机构地区：[1]北京信息控制研究所,北京100037 [2]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《数学的实践与认识》2010年第11期138-144,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10671166);河南重点科技攻关项目(092100210070);河南省教育厅自然科学基金(2010B120010)

摘　　要：研究一类具有连续投放和脉冲控制的害虫管理SI数学模型,证明了连续投放系统正平衡点的全局渐近稳定性,讨论了脉冲控制系统的持续性,并对所得结论进行了数值模拟.Mathematical models for the continuous input and impulsive control strategies of a pest population by infected pest is considered, respectively. The globally asymptotical stability of the positive balance point of the control input system is proved, and the permanence of the impulsive control system is discussed. At the same time, those results obtained in this paper are confirmed by numerical simulation.

关 键 词：连续投放 脉冲控制 持续生存 全局渐近稳定 

分 类 号：O242.1[理学—计算数学]