Optimal control strategy with delay in state and control variables of transmission of COVID-19 pandemic virus
Abstract
In this work, we are interested in the study of the dynamics of transmission of COVID-19 disease, described by SIR epidemic model, with time delay in state and control variables. Our goal is to characterize the optimal control pair, which minimizes the number of susceptible and infected individuals and maximizes the number of people recovered. Pontryagin’s maximum principle with delay is used to characterize these optimal controls. The numerical resolution of the optimal system, has shown the effectiveness of our adopted strategy.
- Published
- 29 December 2020
- Volume
- 2020 (2020)
- License
- CC BY 3.0
Copyright © 2020 Ahmed Kourrad, Amine Alabkari, Ali Labriji, Khalid Adnaoui, Imane El Berrai, Adil El Alami Laaroussi, Fouad Lahmidi. 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
A. Kourrad, A. Alabkari, A. Labriji, K. Adnaoui, I. El Berrai, A. El Alami Laaroussi, F. Lahmidi, Optimal control strategy with delay in state and control variables of transmission of COVID-19 pandemic virus, Commun. Math. Biol. Neurosci. 2020 (2020), 95. https://doi.org/10.28919/cmbn/5141
BibTeX
@article{Kourrad2020,
author = {Kourrad, Ahmed and Alabkari, Amine and Labriji, Ali and Adnaoui, Khalid and El Berrai, Imane and El Alami Laaroussi, Adil and Lahmidi, Fouad},
title = {Optimal control strategy with delay in state and control variables of transmission of COVID-19 pandemic virus},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2020},
year = {2020},
pages = {95},
doi = {10.28919/cmbn/5141}
}