A simple mathematical model for the evaluation of the long first wave of the COVID-19 pandemic in Brazil

Abstract We propose herein a mathematical model to predict the COVID-19 evolution and evaluate the impact of governmental decisions on this evolution, attempting to explain the long duration of the pandemic in the 26 Brazilian states and their capitals well as in the Federative Unit. The prediction...

Full description

Bibliographic Details
Main Authors: Yuanji Tang, Tamires D. A. Serdan, Amanda L. Alecrim, Diego R. Souza, Bruno R. M. Nacano, Flaviano L. R. Silva, Eliane B. Silva, Sarah O. Poma, Matheus Gennari-Felipe, Patrícia N. Iser-Bem, Laureane N. Masi, Sherry Tang, Adriana C. Levada-Pires, Elaine Hatanaka, Maria F. Cury-Boaventura, Fernanda T. Borges, Tania C. Pithon-Curi, Marli C. Curpertino, Jarlei Fiamoncini, Carol Gois Leandro, Renata Gorjao, Rui Curi, Sandro Massao Hirabara
Format: Article
Language:English
Published: Nature Portfolio 2021-08-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-95815-9
_version_ 1818422463263932416
author Yuanji Tang
Tamires D. A. Serdan
Amanda L. Alecrim
Diego R. Souza
Bruno R. M. Nacano
Flaviano L. R. Silva
Eliane B. Silva
Sarah O. Poma
Matheus Gennari-Felipe
Patrícia N. Iser-Bem
Laureane N. Masi
Sherry Tang
Adriana C. Levada-Pires
Elaine Hatanaka
Maria F. Cury-Boaventura
Fernanda T. Borges
Tania C. Pithon-Curi
Marli C. Curpertino
Jarlei Fiamoncini
Carol Gois Leandro
Renata Gorjao
Rui Curi
Sandro Massao Hirabara
author_facet Yuanji Tang
Tamires D. A. Serdan
Amanda L. Alecrim
Diego R. Souza
Bruno R. M. Nacano
Flaviano L. R. Silva
Eliane B. Silva
Sarah O. Poma
Matheus Gennari-Felipe
Patrícia N. Iser-Bem
Laureane N. Masi
Sherry Tang
Adriana C. Levada-Pires
Elaine Hatanaka
Maria F. Cury-Boaventura
Fernanda T. Borges
Tania C. Pithon-Curi
Marli C. Curpertino
Jarlei Fiamoncini
Carol Gois Leandro
Renata Gorjao
Rui Curi
Sandro Massao Hirabara
author_sort Yuanji Tang
collection DOAJ
description Abstract We propose herein a mathematical model to predict the COVID-19 evolution and evaluate the impact of governmental decisions on this evolution, attempting to explain the long duration of the pandemic in the 26 Brazilian states and their capitals well as in the Federative Unit. The prediction was performed based on the growth rate of new cases in a stable period, and the graphics plotted with the significant governmental decisions to evaluate the impact on the epidemic curve in each Brazilian state and city. Analysis of the predicted new cases was correlated with the total number of hospitalizations and deaths related to COVID-19. Because Brazil is a vast country, with high heterogeneity and complexity of the regional/local characteristics and governmental authorities among Brazilian states and cities, we individually predicted the epidemic curve based on a specific stable period with reduced or minimal interference on the growth rate of new cases. We found good accuracy, mainly in a short period (weeks). The most critical governmental decisions had a significant temporal impact on pandemic curve growth. A good relationship was found between the predicted number of new cases and the total number of inpatients and deaths related to COVID-19. In summary, we demonstrated that interventional and preventive measures directly and significantly impact the COVID-19 pandemic using a simple mathematical model. This model can easily be applied, helping, and directing health and governmental authorities to make further decisions to combat the pandemic.
first_indexed 2024-12-14T13:26:39Z
format Article
id doaj.art-6489676b149943b9be31d453fad56b73
institution Directory Open Access Journal
issn 2045-2322
language English
last_indexed 2024-12-14T13:26:39Z
publishDate 2021-08-01
publisher Nature Portfolio
record_format Article
series Scientific Reports
spelling doaj.art-6489676b149943b9be31d453fad56b732022-12-21T22:59:49ZengNature PortfolioScientific Reports2045-23222021-08-0111111110.1038/s41598-021-95815-9A simple mathematical model for the evaluation of the long first wave of the COVID-19 pandemic in BrazilYuanji Tang0Tamires D. A. Serdan1Amanda L. Alecrim2Diego R. Souza3Bruno R. M. Nacano4Flaviano L. R. Silva5Eliane B. Silva6Sarah O. Poma7Matheus Gennari-Felipe8Patrícia N. Iser-Bem9Laureane N. Masi10Sherry Tang11Adriana C. Levada-Pires12Elaine Hatanaka13Maria F. Cury-Boaventura14Fernanda T. Borges15Tania C. Pithon-Curi16Marli C. Curpertino17Jarlei Fiamoncini18Carol Gois Leandro19Renata Gorjao20Rui Curi21Sandro Massao Hirabara22Applied NanoFemto Technologies, LLCInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityKaiser Southern California Permanente Medical GroupInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityMedical School, Faculdade Dinâmica do Vale do PirangaSchool of Pharmaceutical Sciences, University of Sao PauloFederal University of PernambucoInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityInterdisciplinary Program of Health Sciences, Cruzeiro do Sul UniversityAbstract We propose herein a mathematical model to predict the COVID-19 evolution and evaluate the impact of governmental decisions on this evolution, attempting to explain the long duration of the pandemic in the 26 Brazilian states and their capitals well as in the Federative Unit. The prediction was performed based on the growth rate of new cases in a stable period, and the graphics plotted with the significant governmental decisions to evaluate the impact on the epidemic curve in each Brazilian state and city. Analysis of the predicted new cases was correlated with the total number of hospitalizations and deaths related to COVID-19. Because Brazil is a vast country, with high heterogeneity and complexity of the regional/local characteristics and governmental authorities among Brazilian states and cities, we individually predicted the epidemic curve based on a specific stable period with reduced or minimal interference on the growth rate of new cases. We found good accuracy, mainly in a short period (weeks). The most critical governmental decisions had a significant temporal impact on pandemic curve growth. A good relationship was found between the predicted number of new cases and the total number of inpatients and deaths related to COVID-19. In summary, we demonstrated that interventional and preventive measures directly and significantly impact the COVID-19 pandemic using a simple mathematical model. This model can easily be applied, helping, and directing health and governmental authorities to make further decisions to combat the pandemic.https://doi.org/10.1038/s41598-021-95815-9
spellingShingle Yuanji Tang
Tamires D. A. Serdan
Amanda L. Alecrim
Diego R. Souza
Bruno R. M. Nacano
Flaviano L. R. Silva
Eliane B. Silva
Sarah O. Poma
Matheus Gennari-Felipe
Patrícia N. Iser-Bem
Laureane N. Masi
Sherry Tang
Adriana C. Levada-Pires
Elaine Hatanaka
Maria F. Cury-Boaventura
Fernanda T. Borges
Tania C. Pithon-Curi
Marli C. Curpertino
Jarlei Fiamoncini
Carol Gois Leandro
Renata Gorjao
Rui Curi
Sandro Massao Hirabara
A simple mathematical model for the evaluation of the long first wave of the COVID-19 pandemic in Brazil
Scientific Reports
title A simple mathematical model for the evaluation of the long first wave of the COVID-19 pandemic in Brazil
title_full A simple mathematical model for the evaluation of the long first wave of the COVID-19 pandemic in Brazil
title_fullStr A simple mathematical model for the evaluation of the long first wave of the COVID-19 pandemic in Brazil
title_full_unstemmed A simple mathematical model for the evaluation of the long first wave of the COVID-19 pandemic in Brazil
title_short A simple mathematical model for the evaluation of the long first wave of the COVID-19 pandemic in Brazil
title_sort simple mathematical model for the evaluation of the long first wave of the covid 19 pandemic in brazil
url https://doi.org/10.1038/s41598-021-95815-9
work_keys_str_mv AT yuanjitang asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT tamiresdaserdan asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT amandalalecrim asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT diegorsouza asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT brunormnacano asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT flavianolrsilva asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT elianebsilva asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT sarahopoma asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT matheusgennarifelipe asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT patricianiserbem asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT laureanenmasi asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT sherrytang asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT adrianaclevadapires asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT elainehatanaka asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT mariafcuryboaventura asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT fernandatborges asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT taniacpithoncuri asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT marliccurpertino asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT jarleifiamoncini asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT carolgoisleandro asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT renatagorjao asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT ruicuri asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT sandromassaohirabara asimplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT yuanjitang simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT tamiresdaserdan simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT amandalalecrim simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT diegorsouza simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT brunormnacano simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT flavianolrsilva simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT elianebsilva simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT sarahopoma simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT matheusgennarifelipe simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT patricianiserbem simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT laureanenmasi simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT sherrytang simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT adrianaclevadapires simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT elainehatanaka simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT mariafcuryboaventura simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT fernandatborges simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT taniacpithoncuri simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT marliccurpertino simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT jarleifiamoncini simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT carolgoisleandro simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT renatagorjao simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT ruicuri simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil
AT sandromassaohirabara simplemathematicalmodelfortheevaluationofthelongfirstwaveofthecovid19pandemicinbrazil