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A Mathematical Model to Study the Role of Sterile Insect Technique in Crop Pest Control: Dynamics and Optimal Control Study

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  • Animesh Sinha

    (Department of Mathematics, Swami Vivekananda University, Kolkata 700121, India
    Department of Mathematics, Surendranath College for Women, Kolkata 700009, India)

  • Jahangir Chowdhury

    (Department of Applied Science, RCC Institute of Information Technology, Kolkata 700015, India)

  • Aeshah A. Raezah

    (Department of Mathematics, Faculty of Science, King Khalid University, Abha 62529, Saudi Arabia)

  • Fahad Al Basir

    (Department of Mathematics, Asansol Girls’ College, Asansol 713304, India)

Abstract

In this article, we propose and analyze a deterministic mathematical model that captures the dynamic interactions between crop biomass and pest populations under the influence of a biological control strategy, namely the sterile insect technique (SIT). The purpose of this study is to analyze the effectiveness of SIT as a biological pest control method and to understand how pest suppression influences the preservation and productivity of crops over time. The model incorporates four interacting biological populations, namely the crop biomass, female pests, male pests, and sterile male pests. The dynamics of the system are analyzed analytically and numerically. We determine the equilibrium points and their local and global stability. Stability change is found through Hopf bifurcation periodic solutions. It can be concluded from this study that this modeling framework with an optimal control strategy is highly useful in the context of sustainable agriculture that can reduce crop pests in a cost-effective manner.

Suggested Citation

  • Animesh Sinha & Jahangir Chowdhury & Aeshah A. Raezah & Fahad Al Basir, 2025. "A Mathematical Model to Study the Role of Sterile Insect Technique in Crop Pest Control: Dynamics and Optimal Control Study," Mathematics, MDPI, vol. 13(17), pages 1-20, September.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:17:p:2805-:d:1739573
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