Optimal control of red palm weevil model incorporating sterile insect technique, mechanical injection, and pheromone traps

Alnafisah, Yousef; El-Shahed, Moustafa

doi:10.1016/j.aej.2024.02.059

Alexandria Engineering Journal

2024

DOI: 10.1016/j.aej.2024.02.059

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Optimal control of red palm weevil model incorporating sterile insect technique, mechanical injection, and pheromone traps

Yousef Alnafisah,

Moustafa El-Shahed

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Mathematical Model for the Control of Red Palm Weevil

Alqahtani,

Almuneef,

El-Shahed

2024

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The red palm weevil (Rhynchophorus ferrugineus) is a highly destructive pest, causing severe damage to palm trees and significantly reducing their productivity. This paper aims to develop and analyze a mathematical model that captures the interactions between palm trees, Rhynchophorus ferrugineus, and entomopathogenic nematodes as a means of integrated control. We identify the equilibrium points of the system and perform a stability analysis to assess the system’s behavior. Additionally, we design a linear quadratic regulator (LQR) to limit the spread of the red palm weevil within a locally linearized framework. The feedback control law, which is both straightforward and immediately implementable, is employed to avoid the need for complex cost calculations, thus simplifying the solution to the optimal control problem. Numerical simulations demonstrate that the proposed control strategy is effective in reducing the number of infected palm trees. The results indicate that increasing the population of entomopathogenic nematodes can significantly decrease the red palm weevil population, offering a promising approach to mitigating this pest’s impact.

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Mathematical Model for the Control of Red Palm Weevil

Alqahtani,

Almuneef,

El-Shahed

2024

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Optimal control of red palm weevil model incorporating sterile insect technique, mechanical injection, and pheromone traps

Cited by 1 publication

References 41 publications

Mathematical Model for the Control of Red Palm Weevil

Mathematical Model for the Control of Red Palm Weevil

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