具有群体防御的害虫综合治理Filippov模型的研究  

Study on the Filippov Model of Integrated Pest Management with Group Defense

作　　者：侯祥 刘兵 王艺霖 HOU Xiang;LIU Bing;WANG Yilin(School of Mathematics,Liaoning Normal University,Dalian Liaoning 116029,China;School 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》2021年第4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：把具有群体防御行为害虫的种群数量作为综合治理害虫的控制指标,建立了一个具有群体防御行为的害虫综合治理Filippov模型,并系统地对该模型的动力学性质进行分析,包括真平衡点、假平衡点和伪平衡点的存在条件及其稳定性.In this paper,a Filippov model of integrated pest management with group defense behavior is established,which takes the population density of pests as the control index of integrated pest management.The dynamics of the established model are systematically analyzed,including the existence conditions and stability of real,virtual and pseudo equilibrium.

关 键 词：害虫治理 群体防御 Filippov模型 经济阈值 稳定性 

分 类 号：O175[理学—数学]