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

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dc.contributor.authorCarvalho, Tiago de
dc.contributor.authorCristiano, Rony
dc.contributor.authorGoncalves, Luiz Fernando [UNESP]
dc.contributor.authorTonon, Durval Jose
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Federal de Goiás (UFG)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2020-12-10T17:36:52Z
dc.date.available2020-12-10T17:36:52Z
dc.date.issued2020-07-09
dc.description.abstractThe 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.en
dc.description.affiliationUniv Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Av Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP, Brazil
dc.description.affiliationUniv Fed Goias, Inst Matemat & Estatist, Campus Samambaia, BR-74690900 Goiania, Go, Brazil
dc.description.affiliationUniv Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipPRONEX/FAPEG
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdCAPES: 88881.0 68462/2014-01
dc.description.sponsorshipIdPRONEX/FAPEG: 2017/10267000-508
dc.description.sponsorshipIdCAPES: 001
dc.description.sponsorshipIdCNPq: 304809/2017-9
dc.description.sponsorshipId: 2017/00883-0
dc.description.sponsorshipId: 2019/10450-0
dc.format.extent719-739
dc.identifierhttp://dx.doi.org/10.1007/s11071-020-05775-4
dc.identifier.citationNonlinear Dynamics. Dordrecht: Springer, v. 101, n. 1, p. 719-739, 2020.
dc.identifier.doi10.1007/s11071-020-05775-4
dc.identifier.issn0924-090X
dc.identifier.urihttp://hdl.handle.net/11449/195506
dc.identifier.wosWOS:000546902600002
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofNonlinear Dynamics
dc.sourceWeb of Science
dc.subjectHIV
dc.subjectPiecewise smooth vector fields
dc.subjectTypical singularities
dc.subjectBasin of attraction
dc.subjectCrossing limit cycle
dc.titleGlobal analysis of the dynamics of a mathematical model to intermittent HIV treatmenten
dc.typeArtigopt
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
dspace.entity.typePublication
unesp.author.orcid0000-0003-3653-6395[3]
unesp.author.orcid0000-0002-2733-1825[4]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas