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A mathematical study of a crop-pest–natural enemy model with Z-type control

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  • Mandal, Dibyendu Sekhar
  • Chekroun, Abdennasser
  • Samanta, Sudip
  • Chattopadhyay, Joydev

Abstract

In this paper, we apply the Z-type control method to a crop-pest–natural enemy model. We consider the indirect Z-controller in the natural enemy population and investigate the mathematical properties of the model. Furthermore, our analytical results are also numerically validated. Our paper supports that the pest population can be controlled by using an indirect Z-control mechanism in the natural enemy population. Investigations on the crop-pest–natural enemy model also highlight how the Z-control method acts in respect to different dynamical regimes of the uncontrolled model.

Suggested Citation

  • Mandal, Dibyendu Sekhar & Chekroun, Abdennasser & Samanta, Sudip & Chattopadhyay, Joydev, 2021. "A mathematical study of a crop-pest–natural enemy model with Z-type control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 468-488.
    • Handle: RePEc:eee:matcom:v:187:y:2021:i:c:p:468-488
    DOI: 10.1016/j.matcom.2021.03.014
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    References listed on IDEAS

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    1. Yong Ye & Hua Liu & Yu-mei Wei & Ming Ma & Kai Zhang, 2019. "Dynamic Study of a Predator-Prey Model with Weak Allee Effect and Delay," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-15, August.
    2. Alzahrani, Abdullah K. & Alshomrani, Ali Saleh & Pal, Nikhil & Samanta, Sudip, 2018. "Study of an eco-epidemiological model with Z-type control," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 197-208.
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    Cited by:

    1. Lacitignola, Deborah & Diele, Fasma, 2021. "Using awareness to Z-control a SEIR model with overexposure: Insights on Covid-19 pandemic," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Toni Bakhtiar & Ihza Rizkia Fitri & Farida Hanum & Ali Kusnanto, 2022. "Mathematical Model of Pest Control Using Different Release Rates of Sterile Insects and Natural Enemies," Mathematics, MDPI, vol. 10(6), pages 1-18, March.
    3. Misra, A.K. & Yadav, Akash & Sajid, Mohammad, 2024. "Modeling the effects of baculovirus to control insect population in agricultural fields," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 420-434.

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