Calculation of reproducibility rates (R0) by simplification of SIR model applied to Influenza A epidemic (H1N1) in Brazil occurred in 2009
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Revista de Epidemiologia e Controle de Infecção |
Texto Completo: | https://online.unisc.br/seer/index.php/epidemiologia/article/view/7685 |
Resumo: | Background and Objectives: The influenza A (H1N1) pandemic in 2009 reached more than 200 countries in different degrees of morbidity and mortality, and promoted several searches in this area, in order to help future epidemiological strategies. The use of mathematical models of infections may propitiate better comprehension of this phenomenon, and provide subsidies for intervention in public health. This study had as aim describe the reproducibility rate (R0) through simplification of mathematical model of epidemiology, estimate the value of R0 in influenza pandemic occurred in 2009 in Brazil and in Brazilian states, and compare R0 with infected population. Methods: It is an ecological study that uses a public domain data bank with notifications of influenza occurred in Brazil in 2009. A simplified analysis of compartmental model was proposed: Susceptible (S), Infected (I), and Recovered (R), in order to compare the viral reproducibility rate (R0) in Brazilian states. The value of R0 was also correlated with percentage of infected individuals. Results: An epidemic outbreak was configured in twelve states and in throughout Brazil, and more than one epidemic outbreak occurred in five states and in Distrito Federal. The correlation between R0 and the percentage of infected was strong and positive (r = 0.74), and demonstrated that a higher reproductive rate is associated with higher viral contagion. Conclusion: It is possible to conclude that the athematical simplification performed in this study points to another way to identify epidemic, because it is a basic analytical tool, and there is no complexity in computational implementations. KEYWORDS: Epidemiology. Epidemics. Computer Simulation. Influenza, Human. Communicable Diseases. |
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Calculation of reproducibility rates (R0) by simplification of SIR model applied to Influenza A epidemic (H1N1) in Brazil occurred in 2009Cálculo de la tasa de reproductividad (R0) simplificando el modelo SIR aplicada a la epidemia de gripe A (H1N1) se produjo en 2009 en BrasilCálculo da taxa de reprodutividade (R0) através da simplificação do modelo SIR aplicado à epidemia de Influenza A (H1N1) ocorrida em 2009 no BrasilBackground and Objectives: The influenza A (H1N1) pandemic in 2009 reached more than 200 countries in different degrees of morbidity and mortality, and promoted several searches in this area, in order to help future epidemiological strategies. The use of mathematical models of infections may propitiate better comprehension of this phenomenon, and provide subsidies for intervention in public health. This study had as aim describe the reproducibility rate (R0) through simplification of mathematical model of epidemiology, estimate the value of R0 in influenza pandemic occurred in 2009 in Brazil and in Brazilian states, and compare R0 with infected population. Methods: It is an ecological study that uses a public domain data bank with notifications of influenza occurred in Brazil in 2009. A simplified analysis of compartmental model was proposed: Susceptible (S), Infected (I), and Recovered (R), in order to compare the viral reproducibility rate (R0) in Brazilian states. The value of R0 was also correlated with percentage of infected individuals. Results: An epidemic outbreak was configured in twelve states and in throughout Brazil, and more than one epidemic outbreak occurred in five states and in Distrito Federal. The correlation between R0 and the percentage of infected was strong and positive (r = 0.74), and demonstrated that a higher reproductive rate is associated with higher viral contagion. Conclusion: It is possible to conclude that the athematical simplification performed in this study points to another way to identify epidemic, because it is a basic analytical tool, and there is no complexity in computational implementations. KEYWORDS: Epidemiology. Epidemics. Computer Simulation. Influenza, Human. Communicable Diseases.Fundamento y objetivo: La pandemia de gripe A (H1N1) 2009 alcanzaron más de 200 países con diferentes grados de morbilidad y mortalidad, la promoción de varios estudios en el área, con el fin de ayudar a las futuras estrategias epidemiológicas. El uso de modelos matemáticos de las infecciones puede proporcionar una mejor comprensión de este fenómeno y proporcionar subsidios para intervenciones de salud pública. Este estudiotuvo como objetivo describir la tasa de reproductividad (R0) mediante la simplificación de modelo matemático epidemiológica para estimar el valor R0 de la pandemia de gripe de 2009 en Brasil y los estados brasileños y compara R0 con la población infectada. Método: Se realizó un estudio ecológico utilizando una base de datos pública con las notificaciones de influenza pandémica ocurrió en Brasil en 2009. Se propuso un análisis simplificado del modelo compartimental: Susceptible (I), Infected (I), Recuperado (R) para la comparación de los virus de la tasa de reproductividad (R0) en los estados brasileños. También se correlacionó el valor R0 con el porcentaje de infectados. Resultados: En 12 estados y en Brasil en su conjunto se estableció un brote, y en cinco estados y en el Distrito Federal se llevaron a cabo más de un brote. La correlación entre R0 y el porcentaje infectado era fuerte y positiva (r = 0,74), demostró que una tasa de reproducción más alto está asociado con el aumento de contagio viral. Conclusion: la simplificación matemático realizado en este estudio demuestra otra forma de identificar las epidemias, con una herramienta básica y baja complejidad computacional en la implementación. PALABRAS CLAVE: Epidemiología. Epidemias. Simulación por Computador. Gripe Humana. Enfermedades Transmisibles.Justificativa e objetivo:A pandemia de influenza A (H1N1) de 2009 atingiu mais de 200 países com graus variados de morbimortalidade, fomentando diversas pesquisas na área, com objetivo de auxiliar futuras estratégias epidemiológicas. A utilização de modelos matemáticos de infecções pode propiciar melhor compreensão deste fenômeno e fornecer subsídios para intervenções em saúde pública. O presente estudo teve como objetivos descrever a taxa de reprodutividade (R0) através da simplificação de modelo matemático epidemiológico, estimar o valor de R0 na pandemia de influenza de 2009 no Brasil e nos estados brasileiros e comparar R0 com a população infectada. Método: Trata-se de um estudo ecológico, utilizando um banco de dados público com notificações de influenza pandêmica ocorrida no Brasil em 2009. Foi proposta uma análise simplificada do modelo compartimental: Suscetível (I), Infectado (I), Recuperado (R), para comparação da taxa de reprodutividade (R0) viral nos estados brasileiros. Também foi correlacionado o valor de R0 com o percentual de infectados. Resultados: Em 12 estados e no Brasil como um todo foi configurado um surto epidêmico, e em cinco estados além do Distrito Federal ocorreu mais de um surto epidêmico. A correlação entre R0 e o percentual de infectados apresentou-se forte e positiva (r = 0,74), demonstrado que uma maior taxa reprodutiva está associada a maior contágio viral.Conclusão: a simplificação matemática realizada neste estudo demonstra outra maneira de identificar epidemias, sendo uma ferramenta básica e de pouca complexidade nas implementações computacionais.Unisc2017-05-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://online.unisc.br/seer/index.php/epidemiologia/article/view/768510.17058/reci.v7i2.7685Revista de Epidemiologia e Controle de Infecção; Vol. 7 No. 2 (2017); 72-78Revista de Epidemiologia e Controle de Infecção; v. 7 n. 2 (2017); 72-782238-3360reponame:Revista de Epidemiologia e Controle de Infecçãoinstname:Universidade de Santa Cruz do Sul (UNISC)instacron:UNISCenghttps://online.unisc.br/seer/index.php/epidemiologia/article/view/7685/5965Copyright (c) 2017 Revista de Epidemiologia e Controle de Infecçãoinfo:eu-repo/semantics/openAccessKock, Kelser de SouzaTavares, Estevan GroschTraebert, Jefferson LuizMaurici, Rosemeri2019-01-21T12:52:53Zoai:ojs.online.unisc.br:article/7685Revistahttps://online.unisc.br/seer/index.php/epidemiologia/indexONGhttp://online.unisc.br/seer/index.php/epidemiologia/oai||liapossuelo@unisc.br|| julia.kern@hotmail.com||reci.unisc@gmail.com2238-33602238-3360opendoar:2019-01-21T12:52:53Revista de Epidemiologia e Controle de Infecção - Universidade de Santa Cruz do Sul (UNISC)false |
dc.title.none.fl_str_mv |
Calculation of reproducibility rates (R0) by simplification of SIR model applied to Influenza A epidemic (H1N1) in Brazil occurred in 2009 Cálculo de la tasa de reproductividad (R0) simplificando el modelo SIR aplicada a la epidemia de gripe A (H1N1) se produjo en 2009 en Brasil Cálculo da taxa de reprodutividade (R0) através da simplificação do modelo SIR aplicado à epidemia de Influenza A (H1N1) ocorrida em 2009 no Brasil |
title |
Calculation of reproducibility rates (R0) by simplification of SIR model applied to Influenza A epidemic (H1N1) in Brazil occurred in 2009 |
spellingShingle |
Calculation of reproducibility rates (R0) by simplification of SIR model applied to Influenza A epidemic (H1N1) in Brazil occurred in 2009 Kock, Kelser de Souza |
title_short |
Calculation of reproducibility rates (R0) by simplification of SIR model applied to Influenza A epidemic (H1N1) in Brazil occurred in 2009 |
title_full |
Calculation of reproducibility rates (R0) by simplification of SIR model applied to Influenza A epidemic (H1N1) in Brazil occurred in 2009 |
title_fullStr |
Calculation of reproducibility rates (R0) by simplification of SIR model applied to Influenza A epidemic (H1N1) in Brazil occurred in 2009 |
title_full_unstemmed |
Calculation of reproducibility rates (R0) by simplification of SIR model applied to Influenza A epidemic (H1N1) in Brazil occurred in 2009 |
title_sort |
Calculation of reproducibility rates (R0) by simplification of SIR model applied to Influenza A epidemic (H1N1) in Brazil occurred in 2009 |
author |
Kock, Kelser de Souza |
author_facet |
Kock, Kelser de Souza Tavares, Estevan Grosch Traebert, Jefferson Luiz Maurici, Rosemeri |
author_role |
author |
author2 |
Tavares, Estevan Grosch Traebert, Jefferson Luiz Maurici, Rosemeri |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Kock, Kelser de Souza Tavares, Estevan Grosch Traebert, Jefferson Luiz Maurici, Rosemeri |
description |
Background and Objectives: The influenza A (H1N1) pandemic in 2009 reached more than 200 countries in different degrees of morbidity and mortality, and promoted several searches in this area, in order to help future epidemiological strategies. The use of mathematical models of infections may propitiate better comprehension of this phenomenon, and provide subsidies for intervention in public health. This study had as aim describe the reproducibility rate (R0) through simplification of mathematical model of epidemiology, estimate the value of R0 in influenza pandemic occurred in 2009 in Brazil and in Brazilian states, and compare R0 with infected population. Methods: It is an ecological study that uses a public domain data bank with notifications of influenza occurred in Brazil in 2009. A simplified analysis of compartmental model was proposed: Susceptible (S), Infected (I), and Recovered (R), in order to compare the viral reproducibility rate (R0) in Brazilian states. The value of R0 was also correlated with percentage of infected individuals. Results: An epidemic outbreak was configured in twelve states and in throughout Brazil, and more than one epidemic outbreak occurred in five states and in Distrito Federal. The correlation between R0 and the percentage of infected was strong and positive (r = 0.74), and demonstrated that a higher reproductive rate is associated with higher viral contagion. Conclusion: It is possible to conclude that the athematical simplification performed in this study points to another way to identify epidemic, because it is a basic analytical tool, and there is no complexity in computational implementations. KEYWORDS: Epidemiology. Epidemics. Computer Simulation. Influenza, Human. Communicable Diseases. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-05-08 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://online.unisc.br/seer/index.php/epidemiologia/article/view/7685 10.17058/reci.v7i2.7685 |
url |
https://online.unisc.br/seer/index.php/epidemiologia/article/view/7685 |
identifier_str_mv |
10.17058/reci.v7i2.7685 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://online.unisc.br/seer/index.php/epidemiologia/article/view/7685/5965 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2017 Revista de Epidemiologia e Controle de Infecção info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2017 Revista de Epidemiologia e Controle de Infecção |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Unisc |
publisher.none.fl_str_mv |
Unisc |
dc.source.none.fl_str_mv |
Revista de Epidemiologia e Controle de Infecção; Vol. 7 No. 2 (2017); 72-78 Revista de Epidemiologia e Controle de Infecção; v. 7 n. 2 (2017); 72-78 2238-3360 reponame:Revista de Epidemiologia e Controle de Infecção instname:Universidade de Santa Cruz do Sul (UNISC) instacron:UNISC |
instname_str |
Universidade de Santa Cruz do Sul (UNISC) |
instacron_str |
UNISC |
institution |
UNISC |
reponame_str |
Revista de Epidemiologia e Controle de Infecção |
collection |
Revista de Epidemiologia e Controle de Infecção |
repository.name.fl_str_mv |
Revista de Epidemiologia e Controle de Infecção - Universidade de Santa Cruz do Sul (UNISC) |
repository.mail.fl_str_mv |
||liapossuelo@unisc.br|| julia.kern@hotmail.com||reci.unisc@gmail.com |
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1800218810546913280 |