Analysis of fractional-order models for hepatitis B

Detalhes bibliográficos
Autor(a) principal: Cardoso, L. C. [UNESP]
Data de Publicação: 2018
Outros Autores: Dos Santos, F. L.P. [UNESP], Camargo, R. F. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
DOI: 10.1007/s40314-018-0588-4
Texto Completo: http://dx.doi.org/10.1007/s40314-018-0588-4
http://hdl.handle.net/11449/176768
Resumo: This paper presents two models for hepatitis B, both given by fractional differential equations. The first model is formulated without parameters that indicate drug therapy, while the second one considers the drug therapy. The basic reproduction number and the stability analysis are considered for both models. Moreover, some numerical simulations by nonstandard finite difference schemes are presented. The numerical results show that the solutions converges to an equilibrium point as predicted in the stability analysis.
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spelling Analysis of fractional-order models for hepatitis BFractional calculusFractional modelingFractional stabilityHepatitis BThis paper presents two models for hepatitis B, both given by fractional differential equations. The first model is formulated without parameters that indicate drug therapy, while the second one considers the drug therapy. The basic reproduction number and the stability analysis are considered for both models. Moreover, some numerical simulations by nonstandard finite difference schemes are presented. The numerical results show that the solutions converges to an equilibrium point as predicted in the stability analysis.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Depto de Bioestatística UNESPDepto de Ciências UNESPDepto de Bioestatística UNESPDepto de Ciências UNESPCNPq: 455920-2014-1Universidade Estadual Paulista (Unesp)Cardoso, L. C. [UNESP]Dos Santos, F. L.P. [UNESP]Camargo, R. F. [UNESP]2018-12-11T17:22:24Z2018-12-11T17:22:24Z2018-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article4570-4586application/pdfhttp://dx.doi.org/10.1007/s40314-018-0588-4Computational and Applied Mathematics, v. 37, n. 4, p. 4570-4586, 2018.1807-03020101-8205http://hdl.handle.net/11449/17676810.1007/s40314-018-0588-42-s2.0-850525303492-s2.0-85052530349.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational and Applied Mathematics0,272info:eu-repo/semantics/openAccess2023-10-24T06:08:21Zoai:repositorio.unesp.br:11449/176768Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:49:31.497969Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Analysis of fractional-order models for hepatitis B
title Analysis of fractional-order models for hepatitis B
spellingShingle Analysis of fractional-order models for hepatitis B
Analysis of fractional-order models for hepatitis B
Cardoso, L. C. [UNESP]
Fractional calculus
Fractional modeling
Fractional stability
Hepatitis B
Cardoso, L. C. [UNESP]
Fractional calculus
Fractional modeling
Fractional stability
Hepatitis B
title_short Analysis of fractional-order models for hepatitis B
title_full Analysis of fractional-order models for hepatitis B
title_fullStr Analysis of fractional-order models for hepatitis B
Analysis of fractional-order models for hepatitis B
title_full_unstemmed Analysis of fractional-order models for hepatitis B
Analysis of fractional-order models for hepatitis B
title_sort Analysis of fractional-order models for hepatitis B
author Cardoso, L. C. [UNESP]
author_facet Cardoso, L. C. [UNESP]
Cardoso, L. C. [UNESP]
Dos Santos, F. L.P. [UNESP]
Camargo, R. F. [UNESP]
Dos Santos, F. L.P. [UNESP]
Camargo, R. F. [UNESP]
author_role author
author2 Dos Santos, F. L.P. [UNESP]
Camargo, R. F. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Cardoso, L. C. [UNESP]
Dos Santos, F. L.P. [UNESP]
Camargo, R. F. [UNESP]
dc.subject.por.fl_str_mv Fractional calculus
Fractional modeling
Fractional stability
Hepatitis B
topic Fractional calculus
Fractional modeling
Fractional stability
Hepatitis B
description This paper presents two models for hepatitis B, both given by fractional differential equations. The first model is formulated without parameters that indicate drug therapy, while the second one considers the drug therapy. The basic reproduction number and the stability analysis are considered for both models. Moreover, some numerical simulations by nonstandard finite difference schemes are presented. The numerical results show that the solutions converges to an equilibrium point as predicted in the stability analysis.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-11T17:22:24Z
2018-12-11T17:22:24Z
2018-09-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s40314-018-0588-4
Computational and Applied Mathematics, v. 37, n. 4, p. 4570-4586, 2018.
1807-0302
0101-8205
http://hdl.handle.net/11449/176768
10.1007/s40314-018-0588-4
2-s2.0-85052530349
2-s2.0-85052530349.pdf
url http://dx.doi.org/10.1007/s40314-018-0588-4
http://hdl.handle.net/11449/176768
identifier_str_mv Computational and Applied Mathematics, v. 37, n. 4, p. 4570-4586, 2018.
1807-0302
0101-8205
10.1007/s40314-018-0588-4
2-s2.0-85052530349
2-s2.0-85052530349.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computational and Applied Mathematics
0,272
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 4570-4586
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1822182500914429952
dc.identifier.doi.none.fl_str_mv 10.1007/s40314-018-0588-4

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