关于水母治理Filippov模型的动力学性质分析  

Dynamics Analysis of the Filippov Jellyfish Management Model

作　　者：王艺霖 王新 刘兵 侯祥 董秀辉[3] WANG Yilin;WANG Xin;LIU Bing;HOU Xiang;DONG Xiuhui(Department of Mathematics,Liaonig Normal University,Dalian Liaoning 116029,China;School of Mathematics and Information Science,Anshan Normal University,Anshan Liaoning 114007,China;Anshan Meteorological Bureau,Anshan Liaoning 114004,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 [3]鞍山市气象局,辽宁鞍山114004

出　　处：《鞍山师范学院学报》2021年第2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：以水母种群数量为水母治理的控制指标,建立了一个Filippov水母治理模型,系统地分析了该模型的动力学性质,得到了真、假、伪平衡点的存在条件及全局渐近稳定的条件.In this paper,a Filippov jellyfish management model is established based on taking jellyfish population as the control index of jellyfish management.The dynamics of the established model are systematically analyzed.The conditions for the existence and global asymptotic stability of real,virtual and pseudo equilibrium points are obtained.

关 键 词：Filippov切换系统 钵水母 滑线 伪平衡点 

分 类 号：O175.1[理学—数学]