Biomathematical model to analyze the transmission dynamics of Covid-19: Case study, Santiago de Cali, Colombia.

The Covid-19 pandemic has challenged both the scientific community and government authorities in Colombia. Both sectors are collaborating to understand the transmission and spread of the virus and to establish control strategies. This study proposes a biomathematical model with difference equations...

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Main Authors: Miguel Alfaro, Carlos Rubio, Guillermo Fuertes, Manuel Vargas, Armando Mejia-Giraldo
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2024-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0311414
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author Miguel Alfaro
Carlos Rubio
Guillermo Fuertes
Manuel Vargas
Armando Mejia-Giraldo
author_facet Miguel Alfaro
Carlos Rubio
Guillermo Fuertes
Manuel Vargas
Armando Mejia-Giraldo
author_sort Miguel Alfaro
collection DOAJ
description The Covid-19 pandemic has challenged both the scientific community and government authorities in Colombia. Both sectors are collaborating to understand the transmission and spread of the virus and to establish control strategies. This study proposes a biomathematical model with difference equations to analyze the transmission of Covid-19 in Santiago de Cali from March 2020 to June 2022. The results indicate that most of the inhabitants could be positive at some point, but with containment measures, a manageable number of symptomatic cases could be maintained. In addition, the cumulative fatality curve is fitted to the Gompertz model. The method used for parameter fitting or estimation was Gauss-Newton. This approach provides valuable information for decision making and pandemic management in the city.
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publishDate 2024-01-01
publisher Public Library of Science (PLoS)
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spelling doaj-art-d6d28c9fd5eb4e3faeb69be4d8d3e6e72025-08-20T02:31:27ZengPublic Library of Science (PLoS)PLoS ONE1932-62032024-01-011912e031141410.1371/journal.pone.0311414Biomathematical model to analyze the transmission dynamics of Covid-19: Case study, Santiago de Cali, Colombia.Miguel AlfaroCarlos RubioGuillermo FuertesManuel VargasArmando Mejia-GiraldoThe Covid-19 pandemic has challenged both the scientific community and government authorities in Colombia. Both sectors are collaborating to understand the transmission and spread of the virus and to establish control strategies. This study proposes a biomathematical model with difference equations to analyze the transmission of Covid-19 in Santiago de Cali from March 2020 to June 2022. The results indicate that most of the inhabitants could be positive at some point, but with containment measures, a manageable number of symptomatic cases could be maintained. In addition, the cumulative fatality curve is fitted to the Gompertz model. The method used for parameter fitting or estimation was Gauss-Newton. This approach provides valuable information for decision making and pandemic management in the city.https://doi.org/10.1371/journal.pone.0311414
spellingShingle Miguel Alfaro
Carlos Rubio
Guillermo Fuertes
Manuel Vargas
Armando Mejia-Giraldo
Biomathematical model to analyze the transmission dynamics of Covid-19: Case study, Santiago de Cali, Colombia.
PLoS ONE
title Biomathematical model to analyze the transmission dynamics of Covid-19: Case study, Santiago de Cali, Colombia.
title_full Biomathematical model to analyze the transmission dynamics of Covid-19: Case study, Santiago de Cali, Colombia.
title_fullStr Biomathematical model to analyze the transmission dynamics of Covid-19: Case study, Santiago de Cali, Colombia.
title_full_unstemmed Biomathematical model to analyze the transmission dynamics of Covid-19: Case study, Santiago de Cali, Colombia.
title_short Biomathematical model to analyze the transmission dynamics of Covid-19: Case study, Santiago de Cali, Colombia.
title_sort biomathematical model to analyze the transmission dynamics of covid 19 case study santiago de cali colombia
url https://doi.org/10.1371/journal.pone.0311414
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