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

Cecconello, M S; Mizukoshi, M T; Lodwick, W.

Afiliação

Cecconello MS; Department of Mathematics, Federal University of Mato Grosso, 78075-202 Cuiabá, MT, Brazil.
Mizukoshi MT; Institute of Mathematics and Statistic, University Federal of Goiás, 74690-970 Goiânia, GO, Brazil.
Lodwick W; Department of Mathematical and Statistical Sciences, University of Colorado Denver, Denver, CO, USA.

Inf Sci (N Y) ; 577: 871-882, 2021 Oct.

Article em En | MEDLINE | ID: mdl-34421125

RESUMO

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.

Palavras-chave

Constraint interval; Nonlinear regression; SIR model; Sars-Cov-2 pandemic

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Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: Inf Sci (N Y) Ano de publicação: 2021 Tipo de documento: Article País de afiliação: Brasil País de publicação: Estados Unidos

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