Modeling the effects of preventive measures and vaccination on the COVID-19 spread in Benin Republic with optimal control

Coronavirus disease (COVID-19) onset in December 2019 is a contagious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Since, the spread of the virus and mortality due to COVID-19 have continued to increase daily leading to a pandemic. In absence of approved medicine a...

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Autores principales:	Onésime Agossou, Mintodê Nicodème Atchadé, Aliou Moussa Djibril
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	COVID-19 Mathematical modeling Preventive measures Vaccination Optimal control Physics QC1-999
Acceso en línea:	https://doaj.org/article/7f2c059d7aee4f7dbb33e99a6fed4fd7
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spelling	oai:doaj.org-article:7f2c059d7aee4f7dbb33e99a6fed4fd72021-11-22T04:24:31ZModeling the effects of preventive measures and vaccination on the COVID-19 spread in Benin Republic with optimal control2211-379710.1016/j.rinp.2021.104969https://doaj.org/article/7f2c059d7aee4f7dbb33e99a6fed4fd72021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009839https://doaj.org/toc/2211-3797Coronavirus disease (COVID-19) onset in December 2019 is a contagious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Since, the spread of the virus and mortality due to COVID-19 have continued to increase daily leading to a pandemic. In absence of approved medicine and vaccines, many countries imposed policies such as social distancing, mask wearing, hand washing, airport screening, quarantine and others. But rapidly, they were confronted with the high economic and social cost resulting from those policies. Many vaccines have been proposed but their efficiency is still controversial. Now, governments and scholars search for how manage with preventives measures policies and vaccination campaigns to stop the COVID-19 spread. This work studied the effects of these different strategies as time-dependent interventions using mathematical modeling and optimal control approach to ascertain their contribution in the dynamic transmission of COVID-19. The model was proven to have an invariant region and was well-posed. The basic reproduction number was computed with and without respect of preventives measures. The optimal control analysis was carried out using the Pontryagin’s maximum principle to figure out the optimal strategy necessary to curtail the disease. The findings revealed that the optimal implementation of preventive measures reduce highly the number of infected individuals but zero infection was not achieved in the population. That was obtained with the optimal implementation of vaccination campaigns which reduce the number of infected individuals. But the optimal and combined implementation of the two interventions performed better with less costs than the two singular implementations.Onésime AgossouMintodê Nicodème AtchadéAliou Moussa DjibrilElsevierarticleCOVID-19Mathematical modelingPreventive measuresVaccinationOptimal controlPhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104969- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	COVID-19 Mathematical modeling Preventive measures Vaccination Optimal control Physics QC1-999
spellingShingle	COVID-19 Mathematical modeling Preventive measures Vaccination Optimal control Physics QC1-999 Onésime Agossou Mintodê Nicodème Atchadé Aliou Moussa Djibril Modeling the effects of preventive measures and vaccination on the COVID-19 spread in Benin Republic with optimal control
description	Coronavirus disease (COVID-19) onset in December 2019 is a contagious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Since, the spread of the virus and mortality due to COVID-19 have continued to increase daily leading to a pandemic. In absence of approved medicine and vaccines, many countries imposed policies such as social distancing, mask wearing, hand washing, airport screening, quarantine and others. But rapidly, they were confronted with the high economic and social cost resulting from those policies. Many vaccines have been proposed but their efficiency is still controversial. Now, governments and scholars search for how manage with preventives measures policies and vaccination campaigns to stop the COVID-19 spread. This work studied the effects of these different strategies as time-dependent interventions using mathematical modeling and optimal control approach to ascertain their contribution in the dynamic transmission of COVID-19. The model was proven to have an invariant region and was well-posed. The basic reproduction number was computed with and without respect of preventives measures. The optimal control analysis was carried out using the Pontryagin’s maximum principle to figure out the optimal strategy necessary to curtail the disease. The findings revealed that the optimal implementation of preventive measures reduce highly the number of infected individuals but zero infection was not achieved in the population. That was obtained with the optimal implementation of vaccination campaigns which reduce the number of infected individuals. But the optimal and combined implementation of the two interventions performed better with less costs than the two singular implementations.
format	article
author	Onésime Agossou Mintodê Nicodème Atchadé Aliou Moussa Djibril
author_facet	Onésime Agossou Mintodê Nicodème Atchadé Aliou Moussa Djibril
author_sort	Onésime Agossou
title	Modeling the effects of preventive measures and vaccination on the COVID-19 spread in Benin Republic with optimal control
title_short	Modeling the effects of preventive measures and vaccination on the COVID-19 spread in Benin Republic with optimal control
title_full	Modeling the effects of preventive measures and vaccination on the COVID-19 spread in Benin Republic with optimal control
title_fullStr	Modeling the effects of preventive measures and vaccination on the COVID-19 spread in Benin Republic with optimal control
title_full_unstemmed	Modeling the effects of preventive measures and vaccination on the COVID-19 spread in Benin Republic with optimal control
title_sort	modeling the effects of preventive measures and vaccination on the covid-19 spread in benin republic with optimal control
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/7f2c059d7aee4f7dbb33e99a6fed4fd7
work_keys_str_mv	AT onesimeagossou modelingtheeffectsofpreventivemeasuresandvaccinationonthecovid19spreadinbeninrepublicwithoptimalcontrol AT mintodenicodemeatchade modelingtheeffectsofpreventivemeasuresandvaccinationonthecovid19spreadinbeninrepublicwithoptimalcontrol AT alioumoussadjibril modelingtheeffectsofpreventivemeasuresandvaccinationonthecovid19spreadinbeninrepublicwithoptimalcontrol
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Modeling the effects of preventive measures and vaccination on the COVID-19 spread in Benin Republic with optimal control

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