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A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies

dc.contributor.authorMartinez, V. M.
dc.contributor.authorBarbosa, A. N. [UNESP]
dc.contributor.authorMancera, P. F.A. [UNESP]
dc.contributor.authorRodrigues, D. S.
dc.contributor.authorCamargo, R. F. [UNESP]
dc.contributor.institutionRua Santos Dumont
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2022-04-28T19:45:28Z
dc.date.available2022-04-28T19:45:28Z
dc.date.issued2021-11-01
dc.description.abstractThis work deals with mathematical modeling applied to the Human Immunodeficiency Virus. Mathematical aspects analysis is presented, discussed and reviewed. A new model based on the Fractional Calculus theory is proposed. Parameter estimations are made via two computational strategies to both classical and fractional models aiming to investigate the effects of Caputo fractional derivative. The real data are from HIV patients undergoing antiretroviral therapy in different immune responses. From a quality analysis proposal based on the intraclass correlation coefficient and mean absolute percentage error, combined with the numerical simulations, it was shown that the adopted methodology is a promising tool in the understanding of the HIV/T-CD4+ interaction.en
dc.description.affiliationFederal Institute of Education Science and Technology of Amazonas (IFAM) Rua Santos Dumont
dc.description.affiliationSão Paulo State University (UNESP) FMB Av. Prof. Montenegro s/n, Rubião Junior
dc.description.affiliationSão Paulo State University (UNESP) IBB Rua Prof. Dr. Antônio Celso Wagner Zanin, 250, Rubião Junior
dc.description.affiliationUniversity of Campinas (UNICAMP), FT, Rua Paschoal Marmo, 1888
dc.description.affiliationSão Paulo State University (UNESP), FC, Av. Eng. Luís Edmundo Carrijo Coube, 14-01
dc.description.affiliationUnespSão Paulo State University (UNESP) FMB Av. Prof. Montenegro s/n, Rubião Junior
dc.description.affiliationUnespSão Paulo State University (UNESP) IBB Rua Prof. Dr. Antônio Celso Wagner Zanin, 250, Rubião Junior
dc.description.affiliationUnespSão Paulo State University (UNESP), FC, Av. Eng. Luís Edmundo Carrijo Coube, 14-01
dc.identifierhttp://dx.doi.org/10.1016/j.chaos.2021.111398
dc.identifier.citationChaos, Solitons and Fractals, v. 152.
dc.identifier.doi10.1016/j.chaos.2021.111398
dc.identifier.issn0960-0779
dc.identifier.scopus2-s2.0-85116457142
dc.identifier.urihttp://hdl.handle.net/11449/222574
dc.language.isoeng
dc.relation.ispartofChaos, Solitons and Fractals
dc.sourceScopus
dc.subjectAntiretroviral therapy
dc.subjectCaputo fractional derivative
dc.subjectFractional calculus
dc.subjectHeat map
dc.subjectHuman immunodeficiency virus
dc.subjectParameter estimation
dc.titleA fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategiesen
dc.typeArtigo
unesp.author.orcid0000-0001-8326-8595[1]
unesp.author.orcid0000-0002-2080-8053[3]
unesp.author.orcid0000-0002-0016-1715[4]
unesp.author.orcid0000-0001-7417-3308[5]

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