Homotopy analysis of explicit solutions in a chronic hepatitis C virus model

Detalhes bibliográficos
Autor(a) principal: Duarte, Jorge
Data de Publicação: 2021
Outros Autores: Januário, Cristina, Martins, Nuno
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/14833
Resumo: Mathematical analysis of nonlinear models in epidemiology has generated a deep interest in gaining insights into the mechanisms that underlie hepatitis C virus (HCV) infections. In this article, we provide a study of a chronic HCV infection model with immune response, incorporating the effect of dendritic cells (DC) and cytotoxic T lymphocytes (CTL). Considering very recent developments in the literature related to the Homotopy Analysis Method (HAM), we calculate the explicit series solutions of the HCV model, focusing our analysis on a particular set of dynamical variables. An optimal homotopy analysis approach is used to improve the computational efficiency of HAM by means of appropriate values for a convergence control parameter, which greatly accelerates the convergence of the series solutions. The approximated analytical solutions, with the variation of a parameter representing the expansion rate of CTL, are used to compute density plots, which allow us to discuss additional dynamical features of the model.
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spelling Homotopy analysis of explicit solutions in a chronic hepatitis C virus modelHCV infection modelNonlinear differential equationsExplicit series solutionsOptimal homotopy analysis proceduresMathematical analysis of nonlinear models in epidemiology has generated a deep interest in gaining insights into the mechanisms that underlie hepatitis C virus (HCV) infections. In this article, we provide a study of a chronic HCV infection model with immune response, incorporating the effect of dendritic cells (DC) and cytotoxic T lymphocytes (CTL). Considering very recent developments in the literature related to the Homotopy Analysis Method (HAM), we calculate the explicit series solutions of the HCV model, focusing our analysis on a particular set of dynamical variables. An optimal homotopy analysis approach is used to improve the computational efficiency of HAM by means of appropriate values for a convergence control parameter, which greatly accelerates the convergence of the series solutions. The approximated analytical solutions, with the variation of a parameter representing the expansion rate of CTL, are used to compute density plots, which allow us to discuss additional dynamical features of the model.SpringerRCIPLDuarte, JorgeJanuário, CristinaMartins, Nuno2022-07-14T09:04:56Z20212021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/14833engDUARTE, Jorge; JANUÁRIO, Cristina; MARTINS, Nuno – Homotopy analysis of explicit solutions in a chronic hepatitis C virus model. Applied Mathematical Sciences. ISSN 0066-5452. Vol. 15, N.º 1 (2021), pp. 15-32.0066-545210.12988/ams.2021.9142412196-968Xmetadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-08-03T10:11:32Zoai:repositorio.ipl.pt:10400.21/14833Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:22:34.052330Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Homotopy analysis of explicit solutions in a chronic hepatitis C virus model
title Homotopy analysis of explicit solutions in a chronic hepatitis C virus model
spellingShingle Homotopy analysis of explicit solutions in a chronic hepatitis C virus model
Duarte, Jorge
HCV infection model
Nonlinear differential equations
Explicit series solutions
Optimal homotopy analysis procedures
title_short Homotopy analysis of explicit solutions in a chronic hepatitis C virus model
title_full Homotopy analysis of explicit solutions in a chronic hepatitis C virus model
title_fullStr Homotopy analysis of explicit solutions in a chronic hepatitis C virus model
title_full_unstemmed Homotopy analysis of explicit solutions in a chronic hepatitis C virus model
title_sort Homotopy analysis of explicit solutions in a chronic hepatitis C virus model
author Duarte, Jorge
author_facet Duarte, Jorge
Januário, Cristina
Martins, Nuno
author_role author
author2 Januário, Cristina
Martins, Nuno
author2_role author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Duarte, Jorge
Januário, Cristina
Martins, Nuno
dc.subject.por.fl_str_mv HCV infection model
Nonlinear differential equations
Explicit series solutions
Optimal homotopy analysis procedures
topic HCV infection model
Nonlinear differential equations
Explicit series solutions
Optimal homotopy analysis procedures
description Mathematical analysis of nonlinear models in epidemiology has generated a deep interest in gaining insights into the mechanisms that underlie hepatitis C virus (HCV) infections. In this article, we provide a study of a chronic HCV infection model with immune response, incorporating the effect of dendritic cells (DC) and cytotoxic T lymphocytes (CTL). Considering very recent developments in the literature related to the Homotopy Analysis Method (HAM), we calculate the explicit series solutions of the HCV model, focusing our analysis on a particular set of dynamical variables. An optimal homotopy analysis approach is used to improve the computational efficiency of HAM by means of appropriate values for a convergence control parameter, which greatly accelerates the convergence of the series solutions. The approximated analytical solutions, with the variation of a parameter representing the expansion rate of CTL, are used to compute density plots, which allow us to discuss additional dynamical features of the model.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01T00:00:00Z
2022-07-14T09:04:56Z
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://hdl.handle.net/10400.21/14833
url http://hdl.handle.net/10400.21/14833
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv DUARTE, Jorge; JANUÁRIO, Cristina; MARTINS, Nuno – Homotopy analysis of explicit solutions in a chronic hepatitis C virus model. Applied Mathematical Sciences. ISSN 0066-5452. Vol. 15, N.º 1 (2021), pp. 15-32.
0066-5452
10.12988/ams.2021.914241
2196-968X
dc.rights.driver.fl_str_mv metadata only access
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eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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