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

Animesh Sinha, Jahangir Chowdhury, Aeshah A. Raezah and Fahad Al Basir ()
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Animesh Sinha: Department of Mathematics, Swami Vivekananda University, Kolkata 700121, 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

Mathematics, 2025, vol. 13, issue 17, 1-20

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.

Keywords: mathematical model; global stability; hopf bifurcation; optimal control approach; numerical simulations; region of stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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