具有瞬时与非瞬时脉冲效应的害虫综合治理切换模型研究  

Study on a Switching Model of Integrated Pest Management with Transient and Non-Transient Impulsive Effects

作　　者：齐琪 刘兵 QI Qi;LIU Bing(Department of Mathematics,Liaoning Normal University,Dalian Liaoning 116029,China;College of Mathematics and Information Science,Anshan Normal University,Anshan Liaoning 114007,China)

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029 [2]鞍山师范学院数学与信息科学学院,辽宁鞍山114007

出　　处：《鞍山师范学院学报》2020年第6期1-6,共6页Journal of Anshan Normal University

基　　金：国家自然科学基金项目(11371030);辽宁省自然科学基金指导计划项目(20170540001).

摘　　要：建立了一个具有瞬时与非瞬时脉冲效应的害虫综合治理切换模型.利用脉冲微分方程的比较定理和分析方法,给出害虫灭绝周期解全局渐近稳定的充分条件.通过数值模拟给出害虫灭绝阈值与实施害虫控制的周期、喷洒杀虫剂时刻、投放天敌的数量以及杀虫剂对害虫的瞬时杀死率之间的关系.In this paper,a switching model of integrated pest management with transient and non-transient impulsive effects is established.The sufficient condition of global asymptotic stability of pest-eradication periodic solution is given by using the comparison theorem of impulsive differential equation and the methods of analysis.The relationship between the pest eradication threshold and the period of impulsive,the time of spraying pesticides,the release amount of nature enemies and the transient killing rate of pesticides to pests is given by numerical simulations.

关 键 词：杀虫剂作用函数 瞬时脉冲效应 非瞬时脉冲效应 全局渐近稳定 害虫灭绝周期解 

分 类 号：O175.1[理学—数学]