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A latency fractional order model for HIV dynamics

dc.contributor.authorPinto, Carla M.A.
dc.contributor.authorCarvalho, Ana R.M.
dc.date.accessioned2017-01-17T11:14:21Z
dc.date.embargo2116
dc.date.issued2017
dc.description.abstractWe study a fractional order model for HIV infection where latent T helper cells are included. We compute the reproduction number of the model and study the stability of the disease free equilibrium. We observe that the reproduction number varies with the order of the fractional derivative α. In terms of epidemics, this suggests that varying α induces a change in the patients’ epidemic status. Moreover, we simulate the variation of relevant parameters, such as the fraction of uninfected CD4+ T cells that become latently infected, and the CTLs proliferation rate due to infected CD4+ T cells. The model produces biologically reasonable results.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.cam.2016.05.019pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/9284
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relation.ispartofseriesJournal of Computational and Applied Mathematics;Vol. 312
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0377042716302539pt_PT
dc.subjectHIV/AIDSpt_PT
dc.subjectHIV latencypt_PT
dc.subjectFractional modelspt_PT
dc.titleA latency fractional order model for HIV dynamicspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage256pt_PT
oaire.citation.startPage240pt_PT
oaire.citation.titleJournal of Computational and Applied Mathematicspt_PT
oaire.citation.volume312pt_PT
person.familyNamePinto
person.givenNameCarla
person.identifier.orcid0000-0002-0729-1133
person.identifier.ridJ-5221-2013
person.identifier.scopus-author-id14326048800
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationedfd0bf4-9f73-47ee-817a-860e3d088994
relation.isAuthorOfPublication.latestForDiscoveryedfd0bf4-9f73-47ee-817a-860e3d088994

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