Mathematical model of an antiretroviral therapy to HIV via Filippov theory

Detalhes bibliográficos
Autor(a) principal: Chieregato Vicentin, Daniel [UNESP]
Data de Publicação: 2020
Outros Autores: Mancera, Paulo F. A. [UNESP], Carvalho, Tiago, Fernando Gonçalves, Luiz [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.amc.2020.125179
http://hdl.handle.net/11449/198651
Resumo: This work aims to study some qualitative features of piecewise smooth systems applied to the dynamics of the Human Immunodeficiency Virus (HIV). The application of sliding mode control and strategies of structured treatment interruptions in HIV is a new and challenging research area, which deserves attention and improvement. We investigate the dynamic behavior of the discontinuous mathematical model and we observe the occurrence of typical singularities.
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spelling Mathematical model of an antiretroviral therapy to HIV via Filippov theoryAntiretroviral therapiesHIVIntermittent treatmentPiecewise smooth vector fieldsTypical singularitiesThis work aims to study some qualitative features of piecewise smooth systems applied to the dynamics of the Human Immunodeficiency Virus (HIV). The application of sliding mode control and strategies of structured treatment interruptions in HIV is a new and challenging research area, which deserves attention and improvement. We investigate the dynamic behavior of the discontinuous mathematical model and we observe the occurrence of typical singularities.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Programa de Pós-graduação em Biometria UNESP, Botucatu, SPUNESP IBB, Botucatu, SPUSP FFCLRP, Ribeirão Preto, SPUNESP IBILCE, São José do Rio Preto, SPPrograma de Pós-graduação em Biometria UNESP, Botucatu, SPUNESP IBB, Botucatu, SPUNESP IBILCE, São José do Rio Preto, SPCAPES: 2017/00883-0Universidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Chieregato Vicentin, Daniel [UNESP]Mancera, Paulo F. A. [UNESP]Carvalho, TiagoFernando Gonçalves, Luiz [UNESP]2020-12-12T01:18:33Z2020-12-12T01:18:33Z2020-12-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.amc.2020.125179Applied Mathematics and Computation, v. 387.0096-3003http://hdl.handle.net/11449/19865110.1016/j.amc.2020.1251792-s2.0-85081937204Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Mathematics and Computationinfo:eu-repo/semantics/openAccess2021-10-22T18:20:37Zoai:repositorio.unesp.br:11449/198651Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T18:20:37Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Mathematical model of an antiretroviral therapy to HIV via Filippov theory
title Mathematical model of an antiretroviral therapy to HIV via Filippov theory
spellingShingle Mathematical model of an antiretroviral therapy to HIV via Filippov theory
Chieregato Vicentin, Daniel [UNESP]
Antiretroviral therapies
HIV
Intermittent treatment
Piecewise smooth vector fields
Typical singularities
title_short Mathematical model of an antiretroviral therapy to HIV via Filippov theory
title_full Mathematical model of an antiretroviral therapy to HIV via Filippov theory
title_fullStr Mathematical model of an antiretroviral therapy to HIV via Filippov theory
title_full_unstemmed Mathematical model of an antiretroviral therapy to HIV via Filippov theory
title_sort Mathematical model of an antiretroviral therapy to HIV via Filippov theory
author Chieregato Vicentin, Daniel [UNESP]
author_facet Chieregato Vicentin, Daniel [UNESP]
Mancera, Paulo F. A. [UNESP]
Carvalho, Tiago
Fernando Gonçalves, Luiz [UNESP]
author_role author
author2 Mancera, Paulo F. A. [UNESP]
Carvalho, Tiago
Fernando Gonçalves, Luiz [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Chieregato Vicentin, Daniel [UNESP]
Mancera, Paulo F. A. [UNESP]
Carvalho, Tiago
Fernando Gonçalves, Luiz [UNESP]
dc.subject.por.fl_str_mv Antiretroviral therapies
HIV
Intermittent treatment
Piecewise smooth vector fields
Typical singularities
topic Antiretroviral therapies
HIV
Intermittent treatment
Piecewise smooth vector fields
Typical singularities
description This work aims to study some qualitative features of piecewise smooth systems applied to the dynamics of the Human Immunodeficiency Virus (HIV). The application of sliding mode control and strategies of structured treatment interruptions in HIV is a new and challenging research area, which deserves attention and improvement. We investigate the dynamic behavior of the discontinuous mathematical model and we observe the occurrence of typical singularities.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T01:18:33Z
2020-12-12T01:18:33Z
2020-12-15
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/10.1016/j.amc.2020.125179
Applied Mathematics and Computation, v. 387.
0096-3003
http://hdl.handle.net/11449/198651
10.1016/j.amc.2020.125179
2-s2.0-85081937204
url http://dx.doi.org/10.1016/j.amc.2020.125179
http://hdl.handle.net/11449/198651
identifier_str_mv Applied Mathematics and Computation, v. 387.
0096-3003
10.1016/j.amc.2020.125179
2-s2.0-85081937204
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematics and Computation
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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_ 1803046786897543168

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