具有阈值控制策略的Filippov害虫–天敌模型动力学分析
Dynamical Analysis of a Filippov Pest-Natural Enemy Model with Threshold Control Strategy
DOI: 10.12677/aam.2026.157299, PDF,   
作者: 王 宣*：长沙理工大学数学与统计学院，湖南 长沙
关键词: 杀虫剂；阈值控制策略；Filippov系统；Insecticide； Threshold Control Strategy； Filippov System
摘要: 考虑到杀虫剂喷施对天敌亦存在影响，本文引入阈值控制策略探究害虫–天敌模型的全局动力学行为。采用菲利波夫(Filippov)定性分析方法，剖析模型的滑模动力学与全局动力学特征，明确了不同参数区间内真实平衡点及伪平衡点的全局渐近稳定性。通过数值模拟验证并阐释了理论结果的生物学内涵，为害虫综合治理提供了理论支撑。
Abstract: Considering that insecticide spraying also exerts an impact on natural enemies, this paper introduces a threshold control strategy to explore the global dynamic behavior of the pest-natural enemy model. By adopting the Filippov qualitative analysis method, the sliding mode dynamics and global dynamic characteristics of the model are analyzed, and the global asymptotic stability of real and pseudo-equilibrium points in different parameter intervals is clarified. Through numerical simulations, the biological connotation of the obtained theoretical results is verified and explained, which provides theoretical support for integrated pest management.
文章引用：王宣. 具有阈值控制策略的Filippov害虫–天敌模型动力学分析[J]. 应用数学进展, 2026, 15(7): 34-47. https://doi.org/10.12677/aam.2026.157299

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