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<p>Considering the hibernation of pests and impulsive nonlinear release of natural enemies, we construct a pest management system with hibernation of pests and impulsive nonlinear release of natural enemies. Using Floquet theory and the comparison theorem of impulsive differential equations, we derive the conditions under which the pest-eradication periodic solution is globally asymptotically stable (GAS) and the system is permanent. Furthermore, we obtain a control threshold that is critical for managing pest population. The validity of these conditions is rigorously tested and confirmed through numerical simulations. Our work provides ways to pest management.</p>

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Dynamic of a pest management system with hibernation of pests and impulsive nonlinear release of natural enemies

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年7月9日

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  • Hongyan Sun,
  • Jianjun Jiao,
  • Xiangjun Dai,
  • Lin Wu

摘要

Considering the hibernation of pests and impulsive nonlinear release of natural enemies, we construct a pest management system with hibernation of pests and impulsive nonlinear release of natural enemies. Using Floquet theory and the comparison theorem of impulsive differential equations, we derive the conditions under which the pest-eradication periodic solution is globally asymptotically stable (GAS) and the system is permanent. Furthermore, we obtain a control threshold that is critical for managing pest population. The validity of these conditions is rigorously tested and confirmed through numerical simulations. Our work provides ways to pest management.