一个周期环境下具有阶段结构的综合害虫治理模型的研究  

Research on Integrated Pest Management Model with Stage Structure in the Periodic Environment

作　　者：胡亦郑[1] 刘海玉[1] 罗勇[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《生物数学学报》2016年第3期372-386,共15页Journal of Biomathematics

基　　金：国家自然科学基金项目(11001204)

摘　　要：基于害虫综合治理策略,我们运用脉冲泛函微分方程,建立了具有阶段结构的在固定时刻分别喷洒杀虫剂和释放有病害虫与天敌的害虫治理模型.通过应用脉冲微分方程比较定理,脉冲微分方程不等式,Floquet定理和小振幅扰动技巧,我们给出了系统易感害虫根除周期解的全局渐近稳定的充分条件和系统持续生存的充分条件.Based on integrated pest management strategies,an impulsive functional differential system of the pest management with stage structure spraying of pesticides and releasing sick pests and natural enemies in a fixed time is established.The dynamic behaviors of the model are considered.The sufficient conditions of the global asymptotic stability of the susceptible pesteradication periodic solution and the permanence of the system are obtained by using the theories of impulsive differential equations,Floquet theory and small amplitude perturbation techniques.

关 键 词：周期系数 阶段结构 周期解 全局渐近稳定 持续生存 

分 类 号：O175.1[理学—数学]