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

dc.contributorUniversidade de São Paulo (USP)
dc.contributorUniversidade Federal de Goiás (UFG)
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2020-12-10T17:36:52Z
dc.date.accessioned2022-12-19T20:05:22Z
dc.date.available2020-12-10T17:36:52Z
dc.date.available2022-12-19T20:05:22Z
dc.date.created2020-12-10T17:36:52Z
dc.date.issued2020-07-09
dc.identifierNonlinear Dynamics. Dordrecht: Springer, v. 101, n. 1, p. 719-739, 2020.
dc.identifier0924-090X
dc.identifierhttp://hdl.handle.net/11449/195506
dc.identifier10.1007/s11071-020-05775-4
dc.identifierWOS:000546902600002
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5376143
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.
dc.languageeng
dc.publisherSpringer
dc.relationNonlinear 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 treatment
dc.typeArtículos de revistas


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