Interactive Fuzzy Fractional Differential Equation: Application on HIV Dynamics

This work presents an application of interactive fuzzy fractional differential equation, with Caputo derivative, to an HIV model for seropositive individuals under antiretroviral treatment. The initial condition of the model is given by a fuzzy number and the differentiability is given by a fuzzy in...

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Autores principales: Wasques, Vinícius, Laiate, Beatriz, Santo Pedro, Francielle, Esmi, Estevão, de Barros, Laécio Carvalho
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274698/
http://dx.doi.org/10.1007/978-3-030-50153-2_15
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author Wasques, Vinícius
Laiate, Beatriz
Santo Pedro, Francielle
Esmi, Estevão
de Barros, Laécio Carvalho
author_facet Wasques, Vinícius
Laiate, Beatriz
Santo Pedro, Francielle
Esmi, Estevão
de Barros, Laécio Carvalho
author_sort Wasques, Vinícius
collection PubMed
description This work presents an application of interactive fuzzy fractional differential equation, with Caputo derivative, to an HIV model for seropositive individuals under antiretroviral treatment. The initial condition of the model is given by a fuzzy number and the differentiability is given by a fuzzy interactive derivative. A discussion about the model considering these notions are presented. Finally, a numerical solution to the problem is provided, in order to illustrate the results.
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spelling pubmed-72746982020-06-08 Interactive Fuzzy Fractional Differential Equation: Application on HIV Dynamics Wasques, Vinícius Laiate, Beatriz Santo Pedro, Francielle Esmi, Estevão de Barros, Laécio Carvalho Information Processing and Management of Uncertainty in Knowledge-Based Systems Article This work presents an application of interactive fuzzy fractional differential equation, with Caputo derivative, to an HIV model for seropositive individuals under antiretroviral treatment. The initial condition of the model is given by a fuzzy number and the differentiability is given by a fuzzy interactive derivative. A discussion about the model considering these notions are presented. Finally, a numerical solution to the problem is provided, in order to illustrate the results. 2020-05-16 /pmc/articles/PMC7274698/ http://dx.doi.org/10.1007/978-3-030-50153-2_15 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Wasques, Vinícius
Laiate, Beatriz
Santo Pedro, Francielle
Esmi, Estevão
de Barros, Laécio Carvalho
Interactive Fuzzy Fractional Differential Equation: Application on HIV Dynamics
title Interactive Fuzzy Fractional Differential Equation: Application on HIV Dynamics
title_full Interactive Fuzzy Fractional Differential Equation: Application on HIV Dynamics
title_fullStr Interactive Fuzzy Fractional Differential Equation: Application on HIV Dynamics
title_full_unstemmed Interactive Fuzzy Fractional Differential Equation: Application on HIV Dynamics
title_short Interactive Fuzzy Fractional Differential Equation: Application on HIV Dynamics
title_sort interactive fuzzy fractional differential equation: application on hiv dynamics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274698/
http://dx.doi.org/10.1007/978-3-030-50153-2_15
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AT esmiestevao interactivefuzzyfractionaldifferentialequationapplicationonhivdynamics
AT debarroslaeciocarvalho interactivefuzzyfractionaldifferentialequationapplicationonhivdynamics

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