Skip to content
Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 122

Optimal strategy of vaccination and prevention measures in a SEQIRS pandemic model

Riouali Maryam, Lahmidi Fouad, Elberrai Imane, Melhaoui Yousra, Rachik Mostafa

PDF (915.6 KB) https://doi.org/10.28919/cmbn/7669

Abstract

In this paper, we formulate and analyse an optimal control problem for a SEQIRS pandemic model describing the transmission dynamics of the COVID-19 pandemic, given by a system of nonlinear differential equations. Optimal control strategies such as vaccination and preventive measures are adopted as control measures, to minimize the numbers of susceptible, exposed, and infected individuals. We prove the existence of optimal controls and characterization is established using Pontryagin’s maximum principle. Numerical simulations are performed to analyse the effectiveness of optimization strategies by comparing the results obtained.

Published
29 November 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Riouali Maryam, Lahmidi Fouad, Elberrai Imane, Melhaoui Yousra, Rachik Mostafa. 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, M. Yousra, R. Mostafa, Optimal strategy of vaccination and prevention measures in a SEQIRS pandemic model, Commun. Math. Biol. Neurosci. 2022 (2022), 122. https://doi.org/10.28919/cmbn/7669

BibTeX
@article{Maryam2022,
  author  = {Maryam, Riouali and Fouad, Lahmidi and Imane, Elberrai and Yousra, Melhaoui and Mostafa, Rachik},
  title   = {Optimal strategy of vaccination and prevention measures in a SEQIRS pandemic model},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {122},
  doi     = {10.28919/cmbn/7669}
}