The Influence of Quarantine and Uprooting Control Measures in Reducing Rice Tungro Disease through a Mathematical Model

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DOI: https://doi.org/10.28924/2291-8639-23-2025-40
Published: Feb 14, 2025
Cite as:
Hegagi M. Ali, Salem Alkhalaf, Nagwa M. Arafa, The Influence of Quarantine and Uprooting Control Measures in Reducing Rice Tungro Disease through a Mathematical Model, Int. J. Anal. Appl., 23 (2025), 40.

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Hegagi M. Ali, Salem Alkhalaf, Nagwa M. Arafa

Abstract

Tungro virus is one of the most important diseases that affect the rice plant, as it is known as cancer because of the severe damage it causes both in quantity and quality in production. This disease is transmitted by the green leafhoppers (Nephotettix virescens), which are the most responsible vector for the disease's transmission. In this paper, we consider a mathematical model that describes the transmission dynamics of vector-borne rice tungro disease (RTD), which represents the predator-prey interaction between insect vectors and biological agents. Moreover, we incorporated two control efforts to formulate the optimal control model (OCM) in order to examine the best strategy for reducing the infection of RTD. The description of the two implementing controls is quarantine control ( ) such as uprooting and burning infected plants and chemical control ( ) such as using insecticides, respectively.  The Hamiltonian and necessary optimality conditions (NOCs) are presented based on Pontryagin’s maximum principle (PMP). We show numerical simulations in some figures by using the forward-backward sweep method (FBSM) to investigate the suggested control strategies.  The results demonstrate that each integrated strategy can reduce infection transmission, but the combination of the two controls is the best strategy for the others.

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