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Analysis of an Integrated Pest Management Model with Impulsive Diffusion between Two Regions

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  • Airen Zhou

    (School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China)

Abstract

This paper investigates an integrated pest management model with pulsed diffusion. As we all know, humans have been fighting against pests since they entered the age of farming. When pests are controlled, humans can achieve better harvests. We use the stroboscopic mapping of discrete dynamic system to obtain some important lemmas. Based on the lemmas, firstly, we give the conditions for the global asymptotic stability of the periodic solution of the pest eradication boundary; secondly, the conditions for the permanence of the investigated system are derived; thirdly, numerical simulations are used to verify our obtained theoretical results; finally, increased dispersal was found to have the opposite effect on integrated pest management. We conclude that a combination of impulsive diffusion, spraying pesticides, and releasing natural enemies can play a crucial role in integrated pest management.

Suggested Citation

  • Airen Zhou, 2023. "Analysis of an Integrated Pest Management Model with Impulsive Diffusion between Two Regions," Mathematics, MDPI, vol. 11(13), pages 1-18, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2970-:d:1186043
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    References listed on IDEAS

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    1. Liu, Jingna & Qi, Qi & Liu, Bing & Gao, Shujing, 2023. "Pest control switching models with instantaneous and non-instantaneous impulsive effects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 926-938.
    2. Sun, Kaibiao & Zhang, Tonghua & Tian, Yuan, 2017. "Dynamics analysis and control optimization of a pest management predator–prey model with an integrated control strategy," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 253-271.
    3. Katarzyna Golan & Izabela Kot & Katarzyna Kmieć & Edyta Górska-Drabik, 2023. "Approaches to Integrated Pest Management in Orchards: Comstockaspis perniciosa (Comstock) Case Study," Agriculture, MDPI, vol. 13(1), pages 1-15, January.
    4. Akman, Olcay & Comar, Timothy & Henderson, Miranda, 2018. "An analysis of an impulsive stage structured integrated pest management model with refuge effect," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 44-54.
    5. Li, Wenxiu & Chen, Yuming & Huang, Lihong & Wang, Jiafu, 2022. "Global dynamics of a filippov predator-prey model with two thresholds for integrated pest management," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
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