Global analysis of the dynamics of a mathematical model to intermittent HIV treatment

Detalhes bibliográficos
Autor(a) principal: Carvalho, Tiago de
Data de Publicação: 2020
Outros Autores: Cristiano, Rony, Goncalves, Luiz Fernando [UNESP], Tonon, Durval Jose
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s11071-020-05775-4
http://hdl.handle.net/11449/195506
Resumo: The aim of this paper is to study the qualitative dynamics of a piecewise smooth system modeling the intermittent treatment of the human immunodeficiency virus. Typical singularities and closed orbits are observable, and we quantitatively explore the dynamics around those singularities and closed orbits. Moreover, we conclude that this protocol always will be successful since the trajectory passing through any initial condition converges to one of these distinguished orbits. Our formal mathematical results corroborate the real-world observation, where the virus is not eliminated, but the number of infected cells is controlled around a specific value.
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spelling Global analysis of the dynamics of a mathematical model to intermittent HIV treatmentHIVPiecewise smooth vector fieldsTypical singularitiesBasin of attractionCrossing limit cycleThe aim of this paper is to study the qualitative dynamics of a piecewise smooth system modeling the intermittent treatment of the human immunodeficiency virus. Typical singularities and closed orbits are observable, and we quantitatively explore the dynamics around those singularities and closed orbits. Moreover, we conclude that this protocol always will be successful since the trajectory passing through any initial condition converges to one of these distinguished orbits. Our formal mathematical results corroborate the real-world observation, where the virus is not eliminated, but the number of infected cells is controlled around a specific value.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)PRONEX/FAPEGFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Av Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP, BrazilUniv Fed Goias, Inst Matemat & Estatist, Campus Samambaia, BR-74690900 Goiania, Go, BrazilUniv Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilCAPES: 88881.0 68462/2014-01PRONEX/FAPEG: 2017/10267000-508CAPES: 001CNPq: 304809/2017-9: 2017/00883-0: 2019/10450-0SpringerUniversidade de São Paulo (USP)Universidade Federal de Goiás (UFG)Universidade Estadual Paulista (Unesp)Carvalho, Tiago deCristiano, RonyGoncalves, Luiz Fernando [UNESP]Tonon, Durval Jose2020-12-10T17:36:52Z2020-12-10T17:36:52Z2020-07-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article719-739http://dx.doi.org/10.1007/s11071-020-05775-4Nonlinear Dynamics. Dordrecht: Springer, v. 101, n. 1, p. 719-739, 2020.0924-090Xhttp://hdl.handle.net/11449/19550610.1007/s11071-020-05775-4WOS:000546902600002Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Dynamicsinfo:eu-repo/semantics/openAccess2021-10-23T09:13:30Zoai:repositorio.unesp.br:11449/195506Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-05-23T11:02:01.183564Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
title Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
spellingShingle Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
Carvalho, Tiago de
HIV
Piecewise smooth vector fields
Typical singularities
Basin of attraction
Crossing limit cycle
title_short Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
title_full Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
title_fullStr Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
title_full_unstemmed Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
title_sort Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
author Carvalho, Tiago de
author_facet Carvalho, Tiago de
Cristiano, Rony
Goncalves, Luiz Fernando [UNESP]
Tonon, Durval Jose
author_role author
author2 Cristiano, Rony
Goncalves, Luiz Fernando [UNESP]
Tonon, Durval Jose
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Federal de Goiás (UFG)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Carvalho, Tiago de
Cristiano, Rony
Goncalves, Luiz Fernando [UNESP]
Tonon, Durval Jose
dc.subject.por.fl_str_mv HIV
Piecewise smooth vector fields
Typical singularities
Basin of attraction
Crossing limit cycle
topic HIV
Piecewise smooth vector fields
Typical singularities
Basin of attraction
Crossing limit cycle
description The aim of this paper is to study the qualitative dynamics of a piecewise smooth system modeling the intermittent treatment of the human immunodeficiency virus. Typical singularities and closed orbits are observable, and we quantitatively explore the dynamics around those singularities and closed orbits. Moreover, we conclude that this protocol always will be successful since the trajectory passing through any initial condition converges to one of these distinguished orbits. Our formal mathematical results corroborate the real-world observation, where the virus is not eliminated, but the number of infected cells is controlled around a specific value.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-10T17:36:52Z
2020-12-10T17:36:52Z
2020-07-09
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/s11071-020-05775-4
Nonlinear Dynamics. Dordrecht: Springer, v. 101, n. 1, p. 719-739, 2020.
0924-090X
http://hdl.handle.net/11449/195506
10.1007/s11071-020-05775-4
WOS:000546902600002
url http://dx.doi.org/10.1007/s11071-020-05775-4
http://hdl.handle.net/11449/195506
identifier_str_mv Nonlinear Dynamics. Dordrecht: Springer, v. 101, n. 1, p. 719-739, 2020.
0924-090X
10.1007/s11071-020-05775-4
WOS:000546902600002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nonlinear Dynamics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 719-739
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
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_ 1803045757878534144

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