Optimal strategies to control the transmission dynamics of COVID'19

Riouali Maryam, Lahmidi Fouad, Elberrai Imane, Namir Abdelwahed, Melhaoui Yousra

Abstract


In this paper, we propose a model of transmission of a novel coronavirus (COVID’19) given by a system of non-linear differential equations. We apply optimal control theory to obtain optimal control strategies by minimizing the number of susceptible, exposed, and infected individuals. The existence and characterization of optimal controls are given using Pontryagin’s Maximum Principle. Numerical simulations are carried out to illustrate the different effects and to show the efficiency of the proposed approach.

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Published: 2022-04-18

How to Cite this Article:

Riouali Maryam, Lahmidi Fouad, Elberrai Imane, Namir Abdelwahed, Melhaoui Yousra, Optimal strategies to control the transmission dynamics of COVID'19, J. Math. Comput. Sci., 12 (2022), Article ID 143

Copyright © 2022 Riouali Maryam, Lahmidi Fouad, Elberrai Imane, Namir Abdelwahed, Melhaoui Yousra. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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