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Mémoires en Sciences de l'Information et de la Communication; Hal-Diderot

Preprint . 2021

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Constrained Optimal Control Problem Applied to Vaccination for COVID-19 Epidemic

Name: Constrained Optimal Control Problem Applied to Vaccination for COVID-19 Epidemic
Keywords: 49J15, Maximum Principle MSC Classication: 34H05, Ordinary dierential equations, Optimal control, Vaccination, Covid-19 Epidemic, [MATH]Mathematics [math]

descriptionPublicationkeyboard_double_arrow_right Preprint 12 Dec 2021 English HAL CCSD

Abidi, Hani; Amami, Rim; Trabelsi, Chiraz;

Constrained Optimal Control Problem Applied to Vaccination for COVID-19 Epidemic

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Abstract

The model descibes the epidemic dynamics of Covid-19 in a population after vaccination. Using the maximum principale, our goal is to prove the existence of an optimal strategy such that it minimize the number of infected people after vaccination. Finally, some numerical results are provided.

Country

France

Related Organizations

Université Paris Diderot
France

Keywords

49J15, Maximum Principle MSC Classication: 34H05, Ordinary dierential equations, Optimal control, Vaccination, Covid-19 Epidemic, [MATH]Mathematics [math]

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COVID-19