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Research Article | Open Access

Evaluating COVID-19 in Portugal: Bootstrap confidence interval

Sofia Tedim1Vera Afreixo1Miguel Felgueiras2Rui Pedro Leitão3Sofia J. Pinheiro1Cristiana J. Silva4,1( )
Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
ESTG, Polytechnic Institute of Leiria and CEAUL, Faculdade de Ciências, Universidade de Lisboa, Portugal
Public Health Unit, Baixo Vouga Primary Care Cluster, Administração Regional de Saúde (ARS) Centro, Av. Dr. Lourenço Peixinho, n 42, 4 andar, 3804-502 Aveiro, Portugal
Iscte - Instituto Universitário de Lisboa, ISTA, Av. das Forças Armadas, 1649-026 Lisboa, Portugal
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Abstract

In this paper, we consider a compartmental model to fit the real data of confirmed active cases with COVID-19 in Portugal, from March 2, 2020 until September 10, 2021 in the Primary Care Cluster in Aveiro region, ACES BV, reported to the Public Health Unit. The model includes a deterministic component based on ordinary differential equations and a stochastic component based on bootstrap methods in regression. The main goal of this work is to take into account the variability underlying the data set and analyse the estimation accuracy of the model using a residual bootstrapped approach in order to compute confidence intervals for the prediction of COVID-19 confirmed active cases. All numerical simulations are performed in R environment ( version. 4.0.5). The proposed algorithm can be used, after a suitable adaptation, in other communicable diseases and outbreaks.

CLC number: 62F40, 62F25, 62P10

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AIMS Mathematics
Pages 2756-2765

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Cite this article:
Tedim S, Afreixo V, Felgueiras M, et al. Evaluating COVID-19 in Portugal: Bootstrap confidence interval. AIMS Mathematics, 2024, 9(2): 2756-2765. https://doi.org/10.3934/math.2024136

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Received: 18 November 2023
Revised: 17 December 2023
Accepted: 22 December 2023
Published: 15 February 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)