Transport and optimal control of vaccination dynamics for COVID-19

We develop a mathematical model for transferring the vaccine BNT162b2 based on the heat diffusion equation. Then, we apply optimal control theory to the proposed generalized SEIR model. We introduce vaccination for the susceptible population to control the spread of the COVID-19 epidemic. For this,...

Descripción completa

Detalles Bibliográficos
Autores principales: Zaitri, Mohamed Abdelaziz, Bibi, Mohand Ouamer, Torres, Delfim F.M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9212239/
http://dx.doi.org/10.1016/B978-0-32-390504-6.00007-3
_version_ 1784730536557674496
author Zaitri, Mohamed Abdelaziz
Bibi, Mohand Ouamer
Torres, Delfim F.M.
author_facet Zaitri, Mohamed Abdelaziz
Bibi, Mohand Ouamer
Torres, Delfim F.M.
author_sort Zaitri, Mohamed Abdelaziz
collection PubMed
description We develop a mathematical model for transferring the vaccine BNT162b2 based on the heat diffusion equation. Then, we apply optimal control theory to the proposed generalized SEIR model. We introduce vaccination for the susceptible population to control the spread of the COVID-19 epidemic. For this, we use the Pontryagin minimum principle to find the necessary optimality conditions for the optimal control. The optimal control problem and the heat diffusion equation are solved numerically. Finally, several simulations are done to study and predict the spread of the COVID-19 epidemic in Italy. In particular, we compare the model in the presence and absence of vaccination.
format Online
Article
Text
id pubmed-9212239
institution National Center for Biotechnology Information
language English
publishDate 2022
record_format MEDLINE/PubMed
spelling pubmed-92122392022-06-22 Transport and optimal control of vaccination dynamics for COVID-19 Zaitri, Mohamed Abdelaziz Bibi, Mohand Ouamer Torres, Delfim F.M. Mathematical Analysis of Infectious Diseases Article We develop a mathematical model for transferring the vaccine BNT162b2 based on the heat diffusion equation. Then, we apply optimal control theory to the proposed generalized SEIR model. We introduce vaccination for the susceptible population to control the spread of the COVID-19 epidemic. For this, we use the Pontryagin minimum principle to find the necessary optimality conditions for the optimal control. The optimal control problem and the heat diffusion equation are solved numerically. Finally, several simulations are done to study and predict the spread of the COVID-19 epidemic in Italy. In particular, we compare the model in the presence and absence of vaccination. 2022 2022-06-17 /pmc/articles/PMC9212239/ http://dx.doi.org/10.1016/B978-0-32-390504-6.00007-3 Text en Copyright © 2022 Elsevier Inc. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Zaitri, Mohamed Abdelaziz
Bibi, Mohand Ouamer
Torres, Delfim F.M.
Transport and optimal control of vaccination dynamics for COVID-19
title Transport and optimal control of vaccination dynamics for COVID-19
title_full Transport and optimal control of vaccination dynamics for COVID-19
title_fullStr Transport and optimal control of vaccination dynamics for COVID-19
title_full_unstemmed Transport and optimal control of vaccination dynamics for COVID-19
title_short Transport and optimal control of vaccination dynamics for COVID-19
title_sort transport and optimal control of vaccination dynamics for covid-19
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9212239/
http://dx.doi.org/10.1016/B978-0-32-390504-6.00007-3
work_keys_str_mv AT zaitrimohamedabdelaziz transportandoptimalcontrolofvaccinationdynamicsforcovid19
AT bibimohandouamer transportandoptimalcontrolofvaccinationdynamicsforcovid19
AT torresdelfimfm transportandoptimalcontrolofvaccinationdynamicsforcovid19

Ejemplares similares