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

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

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.

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Published: 2022-11-29

How to Cite this Article:

Riouali Maryam, Lahmidi Fouad, Elberrai Imane, Melhaoui Yousra, Rachik Mostafa, Optimal strategy of vaccination and prevention measures in a SEQIRS pandemic model, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 122

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.

Commun. Math. Biol. Neurosci.

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