Interval nonlinear initial-valued problem using constraint intervals: Theory and an application to the Sars-Cov-2 outbreak

This article discusses the theory of constraint interval solutions to interval nonlinear initial value problems and applies the notion of constraint interval solutions to analyze the asymptotic behavior of a susceptible-infected-recovered (SIR) epidemiological nonlinear differential equation model,...

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Detalles Bibliográficos
Autores principales: Cecconello, M.S., Mizukoshi, M.T., Lodwick, W.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Inc. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8366041/
https://www.ncbi.nlm.nih.gov/pubmed/34421125
http://dx.doi.org/10.1016/j.ins.2021.08.045
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author Cecconello, M.S.
Mizukoshi, M.T.
Lodwick, W.
author_facet Cecconello, M.S.
Mizukoshi, M.T.
Lodwick, W.
author_sort Cecconello, M.S.
collection PubMed
description This article discusses the theory of constraint interval solutions to interval nonlinear initial value problems and applies the notion of constraint interval solutions to analyze the asymptotic behavior of a susceptible-infected-recovered (SIR) epidemiological nonlinear differential equation model, specifically the covid pandemic, in the presence of interval uncertainty to illustrate the efficacy of this approach. Furthermore, constraint interval solutions are used to estimate the intervals for the parameters by fitting solutions to the Brazilian’s Sars-Cov-2 pandemic official data. Simulations and graphical solutions incorporating constraint interval uncertainties are presented to help in the visualization of the pandemic’s behavior.
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spelling pubmed-83660412021-08-16 Interval nonlinear initial-valued problem using constraint intervals: Theory and an application to the Sars-Cov-2 outbreak Cecconello, M.S. Mizukoshi, M.T. Lodwick, W. Inf Sci (N Y) Article This article discusses the theory of constraint interval solutions to interval nonlinear initial value problems and applies the notion of constraint interval solutions to analyze the asymptotic behavior of a susceptible-infected-recovered (SIR) epidemiological nonlinear differential equation model, specifically the covid pandemic, in the presence of interval uncertainty to illustrate the efficacy of this approach. Furthermore, constraint interval solutions are used to estimate the intervals for the parameters by fitting solutions to the Brazilian’s Sars-Cov-2 pandemic official data. Simulations and graphical solutions incorporating constraint interval uncertainties are presented to help in the visualization of the pandemic’s behavior. Elsevier Inc. 2021-10 2021-08-16 /pmc/articles/PMC8366041/ /pubmed/34421125 http://dx.doi.org/10.1016/j.ins.2021.08.045 Text en © 2021 Elsevier Inc. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Cecconello, M.S.
Mizukoshi, M.T.
Lodwick, W.
Interval nonlinear initial-valued problem using constraint intervals: Theory and an application to the Sars-Cov-2 outbreak
title Interval nonlinear initial-valued problem using constraint intervals: Theory and an application to the Sars-Cov-2 outbreak
title_full Interval nonlinear initial-valued problem using constraint intervals: Theory and an application to the Sars-Cov-2 outbreak
title_fullStr Interval nonlinear initial-valued problem using constraint intervals: Theory and an application to the Sars-Cov-2 outbreak
title_full_unstemmed Interval nonlinear initial-valued problem using constraint intervals: Theory and an application to the Sars-Cov-2 outbreak
title_short Interval nonlinear initial-valued problem using constraint intervals: Theory and an application to the Sars-Cov-2 outbreak
title_sort interval nonlinear initial-valued problem using constraint intervals: theory and an application to the sars-cov-2 outbreak
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8366041/
https://www.ncbi.nlm.nih.gov/pubmed/34421125
http://dx.doi.org/10.1016/j.ins.2021.08.045
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