Analysis of a TB and HIV co-infection model under Mittag-Leffler fractal-fractional derivative

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridAnjam, Yasir Nadeem/0000-0003-4515-8082
dc.contributor.authorLiu, Xuan
dc.contributor.authorAhmad, Shabir
dc.contributor.authorRahman, Mati Ur
dc.contributor.authorNadeem, Yasir
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:28:29Z
dc.date.available2024-12-24T19:28:29Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, the nonlocal operator with the Mittag-Leffler kernel is used to analyze a TB-HIV co-infection model with recurrent TB and exogenous reinfection. The non-negative invariant region and basic reproduction number of the proposed model are demonstrated. By using the Krasnoselskii fixed result, we investigate that the TB-HIV co-infection model possesses at least one solution. We look at the existence of a unique solution using Banach's fixed point theorem. Functional analysis is used to demonstrate Ulam-Hyres stability. The numerical solution of the given model is obtained using the Adams-Bashforth technique. We illustrate the achieved results by studying the co-infection of TB and HIV for different fractional and fractal orders.
dc.identifier.doi10.1088/1402-4896/ac645e
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85129355847
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1088/1402-4896/ac645e
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7080
dc.identifier.volume97
dc.identifier.wosWOS:000785705300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofPhysica Scripta
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectTB-HIV coinfection
dc.subjectMittag-Leffler kernel
dc.subjectBanach fixed point theorem
dc.subjectAdams-Bashforth technique
dc.titleAnalysis of a TB and HIV co-infection model under Mittag-Leffler fractal-fractional derivative
dc.typeArticle

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