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Threshold Strategy for Nonsmooth Filippov Stage-Structured Pest Growth Models

机译：非光滑Filippov阶段构造的害虫生长模型的阈值策略

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摘要

In order to control pests and eventually maintain the number of pests below the economic threshold, in this paper, based on the nonsmooth dynamical system, a two-stage-structured pest control Filippov model is proposed. We take the total number of juvenile and adult pest population as the control index to determine whether or not to implement chemical control strategies. The sliding-mode domain and conditions for the existence of regular and virtual equilibria, pseudoequilibrium, boundary equilibria, and tangent points are given. Further, the sufficient condition of the locally asymptotic stability of pseudoequilibrium is obtained. By numerical simulations, the local bifurcations of the equilibria are discussed. Our results show that the total number of pest populations can be successfully controlled below the economic threshold by taking suitable threshold policy.
机译：为了控制害虫并最终使害虫数量保持在经济阈值以下，本文基于非光滑动力系统，提出了一种两阶段结构的害虫防治Filippov模型。我们以未成年和成年有害生物种群总数为控制指标，以确定是否实施化学控制策略。给出了滑模域以及存在正则和虚拟平衡，拟平衡，边界平衡和切点的条件。此外，获得了伪平衡的局部渐近稳定性的充分条件。通过数值模拟，讨论了平衡点的局部分支。我们的结果表明，采取适当的阈值政策，可以成功地将害虫种群总数控制在经济阈值以下。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第5期|9742197.1-9742197.7|共7页
  • 作者

    Tao Fengmei; Kang Baolin; Liu Bing; Qu Leilei;

  • 作者单位

    Anshan Normal Univ, Coll Math & Informat Sci, Anshan 114007, Liaoning, Peoples R China;

    Anshan Normal Univ, Coll Math & Informat Sci, Anshan 114007, Liaoning, Peoples R China;

    Anshan Normal Univ, Coll Math & Informat Sci, Anshan 114007, Liaoning, Peoples R China;

    Dalian Ocean Univ, Sch Sci, Dalian 116000, Liaoning, Peoples R China;

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