王铁英, 左萍, 蔡瑾. 植物根底害虫治理控制模型研究[J]. 信阳师范学院学报(自然科学版), 2018, 31(4): 517-519. DOI: 10.3969/j.issn.1003-0972.2018.04.001
引用本文: 王铁英, 左萍, 蔡瑾. 植物根底害虫治理控制模型研究[J]. 信阳师范学院学报(自然科学版), 2018, 31(4): 517-519. DOI: 10.3969/j.issn.1003-0972.2018.04.001
WANG Tieying, ZUO Ping, CAI Jin. Studies on the Model Concerning Controlling Plant Root Pests[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(4): 517-519. DOI: 10.3969/j.issn.1003-0972.2018.04.001
Citation: WANG Tieying, ZUO Ping, CAI Jin. Studies on the Model Concerning Controlling Plant Root Pests[J]. Journal of Xinyang Normal University (Natural Science Edition), 2018, 31(4): 517-519. DOI: 10.3969/j.issn.1003-0972.2018.04.001

植物根底害虫治理控制模型研究

Studies on the Model Concerning Controlling Plant Root Pests

  • 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.

     

    Abstract: 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.

     

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