植物根底害虫治理控制模型研究  

Studies on the Model Concerning Controlling Plant Root Pests

作　　者：王铁英 左萍 蔡瑾 WANG Tieying;ZUO Ping;CAI Jin(School of Information Technology and Cyber Security,People’s Public Security University of China, Beijing 100038,China)

机构地区：[1]中国人民公安大学信息技术与网络安全学院,北京100038

出　　处：《信阳师范学院学报（自然科学版）》2018年第4期517-519,共3页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11371306);中国人民公安大学教学研究项目(2017jy20)

摘　　要：研究了一类带有脉冲状态反馈控制的植物根底害虫治理模型;利用微分方程的定性理论、几何理论和后继函数,证明了无脉冲系统正平衡点的全局渐近稳定性、脉冲状态反馈控制系统阶1周期解的存在性与稳定性.结果表明,在一定控制强度下,脉冲状态反馈控制可以把害虫数量控制在经济危害值以下.A kind of model concerning controlling plant root pests with impulsive state feedback control is analyzed.The global asymptotic stability of the positive equilibrium of the system without impulsive state feedback control is obtained by using the qualitative theory of ordinary differential equation,the existence and stability of order one periodic solution of the system with impulsive state feedback control have been studied by the geometry theory and the method of successor functions.The results show that the density of pest can be controlled to be lower than Economic Injury Level.

关 键 词：植物根底害虫 阶1周期解 后继函数 脉冲状态反馈控制 

分 类 号：O175.13[理学—数学]