Optimal control strategy with delay in state and control variables of transmission of COVID-19 pandemic virus

Ahmed Kourrad, Amine Alabkari, Ali Labriji, Khalid Adnaoui, Imane El Berrai, Adil El Alami Laaroussi, Fouad Lahmidi

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.

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Published: 2020-12-29

How to Cite this Article:

Ahmed Kourrad, Amine Alabkari, Ali Labriji, Khalid Adnaoui, Imane El Berrai, Adil El Alami Laaroussi, Fouad Lahmidi, Optimal control strategy with delay in state and control variables of transmission of COVID-19 pandemic virus, Commun. Math. Biol. Neurosci., 2020 (2020), Article ID 95

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.

Commun. Math. Biol. Neurosci.

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