The impact of vaccination on the evolution of COVID-19 in Portugal

In this work we use simple mathematical models to study the impact of vaccination against COVID-19 in Portugal. First, we fit a SEIR type model without vaccination to the Portuguese data on confirmed cases of COVID-19 by the date of symptom onset, from the beginning of the epidemic until the 23rd Ja...

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Main Authors: Beatriz Machado, Liliana Antunes, Constantino Caetano, João F. Pereira, Baltazar Nunes, Paula Patrício, M. Luísa Morgado
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2022043?viewType=HTML
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author Beatriz Machado
Liliana Antunes
Constantino Caetano
João F. Pereira
Baltazar Nunes
Paula Patrício
M. Luísa Morgado
author_facet Beatriz Machado
Liliana Antunes
Constantino Caetano
João F. Pereira
Baltazar Nunes
Paula Patrício
M. Luísa Morgado
author_sort Beatriz Machado
collection DOAJ
description In this work we use simple mathematical models to study the impact of vaccination against COVID-19 in Portugal. First, we fit a SEIR type model without vaccination to the Portuguese data on confirmed cases of COVID-19 by the date of symptom onset, from the beginning of the epidemic until the 23rd January of 2021, to estimate changes in the transmission intensity. Then, by including vaccination in the model we develop different scenarios for the fade-out of the non pharmacological intervention (NPIs) as vaccine coverage increases in the population according to Portuguese vaccination goals. We include a feedback function to mimic the implementation and relaxation of NPIs, according to some disease incidence thresholds defined by the Portuguese health authorities.
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spelling doaj.art-118ec180e69142058beb766e3ac4ac8b2022-12-22T00:04:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182022-01-0119193695210.3934/mbe.2022043The impact of vaccination on the evolution of COVID-19 in PortugalBeatriz Machado0Liliana Antunes1Constantino Caetano2João F. Pereira3Baltazar Nunes4Paula Patrício5M. Luísa Morgado61. School of Science and Technology, University of Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados, Vila Real 5001-801, Portugal2. Departamento de Epidemiologia, Instituto Nacional de Saúde Doutor Ricardo Jorge (INSA), Lisbon 1649-016, Portugal2. Departamento de Epidemiologia, Instituto Nacional de Saúde Doutor Ricardo Jorge (INSA), Lisbon 1649-016, Portugal5. Center for Computational and Stochastic Mathematics, Instituto Superior Técnico, University of Lisbon, Lisbon 1049-001, Portugal 1. School of Science and Technology, University of Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados, Vila Real 5001-801, Portugal 2. Departamento de Epidemiologia, Instituto Nacional de Saúde Doutor Ricardo Jorge (INSA), Lisbon 1649-016, Portugal2. Departamento de Epidemiologia, Instituto Nacional de Saúde Doutor Ricardo Jorge (INSA), Lisbon 1649-016, Portugal 3. Escola Nacional de Saúde Pública, Universidade NOVA de Lisboa4. Center for Mathematics and Applications (CMA) and Department of Mathematics, NOVA School of Science and Technology, FCT NOVA, Quinta da Torre, Caparica 2829-516, Portugal1. School of Science and Technology, University of Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados, Vila Real 5001-801, Portugal5. Center for Computational and Stochastic Mathematics, Instituto Superior Técnico, University of Lisbon, Lisbon 1049-001, PortugalIn this work we use simple mathematical models to study the impact of vaccination against COVID-19 in Portugal. First, we fit a SEIR type model without vaccination to the Portuguese data on confirmed cases of COVID-19 by the date of symptom onset, from the beginning of the epidemic until the 23rd January of 2021, to estimate changes in the transmission intensity. Then, by including vaccination in the model we develop different scenarios for the fade-out of the non pharmacological intervention (NPIs) as vaccine coverage increases in the population according to Portuguese vaccination goals. We include a feedback function to mimic the implementation and relaxation of NPIs, according to some disease incidence thresholds defined by the Portuguese health authorities.https://www.aimspress.com/article/doi/10.3934/mbe.2022043?viewType=HTMLcovid-19vaccinationepidemiologyseir model
spellingShingle Beatriz Machado
Liliana Antunes
Constantino Caetano
João F. Pereira
Baltazar Nunes
Paula Patrício
M. Luísa Morgado
The impact of vaccination on the evolution of COVID-19 in Portugal
Mathematical Biosciences and Engineering
covid-19
vaccination
epidemiology
seir model
title The impact of vaccination on the evolution of COVID-19 in Portugal
title_full The impact of vaccination on the evolution of COVID-19 in Portugal
title_fullStr The impact of vaccination on the evolution of COVID-19 in Portugal
title_full_unstemmed The impact of vaccination on the evolution of COVID-19 in Portugal
title_short The impact of vaccination on the evolution of COVID-19 in Portugal
title_sort impact of vaccination on the evolution of covid 19 in portugal
topic covid-19
vaccination
epidemiology
seir model
url https://www.aimspress.com/article/doi/10.3934/mbe.2022043?viewType=HTML
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