Skip to content
Journal of Mathematical and Computational Science ISSN 1927-5307 (Print)

Archives › Volume 12 (2022)

J. Math. Comput. Sci. 12 (2022), Article ID 143

Optimal strategies to control the transmission dynamics of COVID'19

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

PDF (1.6 MB) https://doi.org/10.28919/jmcs/7271

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.

Published
18 April 2022
Volume
12 (2022)
License
CC BY 3.0

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.

Cite this article

R. Maryam, L. Fouad, E. Imane, N. Abdelwahed, M. Yousra, Optimal strategies to control the transmission dynamics of COVID'19, J. Math. Comput. Sci. 12 (2022), 143. https://doi.org/10.28919/jmcs/7271

BibTeX
@article{Maryam2022,
  author  = {Maryam, Riouali and Fouad, Lahmidi and Imane, Elberrai and Abdelwahed, Namir and Yousra, Melhaoui},
  title   = {Optimal strategies to control the transmission dynamics of COVID'19},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {143},
  doi     = {10.28919/jmcs/7271}
}