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Archives › Volume 11, Number 5 (2021)

J. Math. Comput. Sci. 11 (2021), 5447–5457

Optimal control of a seir model with confinement of COVID’19

Riouali Maryam, Lahmidi Fouad, Elbarrai Imane, Namir Abdelwahed

Abstract

In this work, we proposed a mathematical model with an isolation rate and a control strategy, such as confinement, to control the spread of the COVID’19 epidemic in society. We formulated an optimal control problem and solved it. Also, a characterization of the optimal control is given using Pontryagin’s Maximum Principle.

Published
6 July 2021
Volume
11 (2021)
License
CC BY 3.0

Copyright © 2021 Riouali Maryam, Lahmidi Fouad, Elbarrai Imane, Namir Abdelwahed. 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, Optimal control of a seir model with confinement of COVID’19, J. Math. Comput. Sci. 11 (2021), 5447–5457. https://doi.org/10.28919/jmcs/5843

BibTeX
@article{Maryam2021,
  author  = {Maryam, Riouali and Fouad, Lahmidi and Imane, Elbarrai and Abdelwahed, Namir},
  title   = {Optimal control of a seir model with confinement of COVID’19},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {5447--5457},
  doi     = {10.28919/jmcs/5843}
}