Repository logo
 
Publication

Discrete-Time System of an Intracellular Delayed HIV Model with CTL Immune Response

2022-05-04Journal article Open access
Simple item page
dc.contributor.authorVaz, Sandra
dc.contributor.authorTorres, Delfim F. M.
dc.date.accessioned2022-11-21T17:08:27Z
dc.date.available2022-11-21T17:08:27Z
dc.date.issued2022-05-04
dc.description.abstractIn [Math. Comput. Sci. 12 (2018), no. 2, 111--127], a delayed model describing the dynamics of the Human Immunodeficiency Virus (HIV) with Cytotoxic T Lymphocytes (CTL) immune response is investigated by Allali, Harroudi and Torres. Here, we propose a discrete-time version of that model, which includes four nonlinear difference equations describing the evolution of uninfected, infected, free HIV viruses, and CTL immune response cells and includes intracellular delay. Using suitable Lyapunov functions, we prove the global stability of the disease free equilibrium point and of the two endemic equilibrium points. We finalize by making some simulations and showing, numerically, the consistence of the obtained theoretical results.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1007/978-3-031-17558-9_12pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/12425
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherDynamic Control and Optimizationpt_PT
dc.relationCenter of Mathematics and Applications of University of Beira Interior
dc.subjectCompartmental modelspt_PT
dc.subjectStability analysispt_PT
dc.subjectLyapunov functionspt_PT
dc.subjectMickens methodpt_PT
dc.titleDiscrete-Time System of an Intracellular Delayed HIV Model with CTL Immune Responsept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter of Mathematics and Applications of University of Beira Interior
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00212%2F2020/PT
oaire.citation.titleDynamic Control and Optimizationpt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameVaz
person.familyNameTorres
person.givenNameSandra
person.givenNameDelfim F. M.
person.identifier1931565
person.identifier584677
person.identifier.ciencia-id2D10-D257-281D
person.identifier.ciencia-id911F-2677-3E84
person.identifier.orcid0000-0002-1507-2272
person.identifier.orcid0000-0001-8641-2505
person.identifier.ridAFT-2191-2022
person.identifier.scopus-author-id56150121900
person.identifier.scopus-author-id7102800859
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication1b012cff-18b5-4114-99a4-eebf3002c5d0
relation.isAuthorOfPublication2ff87822-da77-4bcd-ae0e-6a68a9206242
relation.isAuthorOfPublication.latestForDiscovery2ff87822-da77-4bcd-ae0e-6a68a9206242
relation.isProjectOfPublication8ba4cb1c-bd74-44b8-bc32-20b90c6c920d
relation.isProjectOfPublication.latestForDiscovery8ba4cb1c-bd74-44b8-bc32-20b90c6c920d

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
2205.02199.pdf
Size:
272.52 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

FC - DM | Documentos por Auto-Depósito
ICI - CMA | Documentos por Auto-Depósito