Stability and Reproduction Dynamics in Fractional-Order Reaction-Diffusion Models of HIV/AIDS

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dc.contributor.authorBouaziz, Khelifa
dc.contributor.authorDjeddi, Nadir
dc.contributor.authorBatiha, Iqbal M.
dc.contributor.authorAnakira, Nidal
dc.contributor.authorIrianto, Irianto
dc.contributor.authorSasa, Tala
dc.contributor.editorBentout, Soufiane
dc.contributor.otherUniversité Larbi Tébessi - Tébessa, Tebessa, Algeria
dc.date.accessioned2026-07-04T12:02:22Z
dc.date.issued2026-06-26
dc.descriptionReferences: 35
dc.description.abstractThis research focuses on introducing fractional‐order derivatives to an HIV/AIDS mathematical model in order to provide a good representation of disease dynamics. The central point of this work is evaluating the stability of equilibrium points through the use of fractional calculus with an important attention to the role of the basic reproductive number R 0 in determining its impact on system stability. The fractional‐order Lyapunov framework will be utilized in investigating stability conditions and clarifying their relationship. In addition, essential analytical properties such as the existence, positivity, and boundedness of solutions will be examined and explored to support the theoretical finding. Numerical simulations will be studied to give additional insights into the spread of disease and demonstrate the contribution of fractional calculus in epidemic modeling.en
dc.description.urihttps://onlinelibrary.wiley.com/doi/10.1155/jama/4710237
dc.identifier.doi10.1155/jama/4710237
dc.identifier.issn1110757X
dc.identifier.issn16870042
dc.identifier.issn1110-757X
dc.identifier.issn1687-0042
dc.identifier.otherScopus EID: 2-s2.0-105043046422
dc.identifier.otherScopus ID: 105043046422
dc.identifier.otherArticle number: 4710237
dc.identifier.urihttps://doi.org/10.1155/jama/4710237
dc.identifier.urihttps://scholarlyworks.ra.ac.ae/handle/123456789/2521
dc.language.isoen
dc.publisherWiley
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dc.relation.uriPDF: https://onlinelibrary.wiley.com/doi/pdf/10.1155/jama/4710237
dc.relation.uriPDF: https://onlinelibrary.wiley.com/doi/pdf/10.1155/jama/4710237
dc.rightsOpen Access
dc.rightsCC BY
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceJournal of Applied Mathematics
dc.source.urihttps://api.elsevier.com/content/abstract/scopus_id/105043046422
dc.subjectFractional Differential Equations Solutions
dc.subjectMathematical and Theoretical Epidemiology and Ecology Models
dc.subjectCOVID-19 epidemiological studies
dc.subjectStability (learning theory)
dc.subjectRepresentation (politics)
dc.titleStability and Reproduction Dynamics in Fractional-Order Reaction-Diffusion Models of HIV/AIDSen
dc.typeArticle
oaire.citation.issue1
oaire.citation.volume2026
person.identifier.orcid0009-0003-0548-6070
person.identifier.orcid0009-0001-5567-5684
person.identifier.orcid0000-0002-8443-8848
person.identifier.orcid0000-0003-4839-6342
person.identifier.orcid0000-0003-0733-126X
person.identifier.orcid0000-0001-7875-9920

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