Complex dynamics of multi strain TB model under nonlocal and nonsingular fractal fractional operator

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dc.authoridUllah, Aman/0000-0003-4021-3599
dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridAli, Amir/0000-0002-2403-1296
dc.contributor.authorAdnan
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorRiaz, Muhammad Bilal
dc.contributor.authorAli, Amir
dc.contributor.authorAkgul, Ali
dc.contributor.authorPartohaghighi, Mohammad
dc.date.accessioned2024-12-24T19:27:37Z
dc.date.available2024-12-24T19:27:37Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractResearchers have recently begun to use fractal fractional operators in the Atangana-Baleanu sense to analyze complicated dynamics of various models in applied sciences, as the Atangana-Baleanu operator generalizes the integer and fractional order operators. To analyze the complex dynamics of the multi-strain TB model, we use the AB-fractal fractional operator. We use the Banach fixed point theorem to ensure that at most one solution exists to the model. Further, the Ulam-Hyers type stability of the model is investigated with the help of functional analysis. The Adams-Bashforth approach is used to get numerical results for the proposed model. The analysis of the chaotic behavior of the proposed TB model was missing in the literature. Therefore, for different values of fractional and fractal order, we study the nonlinear dynamics and chaotic behavior of the obtained results of the proposed model.
dc.description.sponsorshipPolish National Science Centre under the grant OPUS 18 [2019/35/B/ST8/00980]
dc.description.sponsorshipThis work has been supported by the Polish National Science Centre under the grant OPUS 18 No. 2019/35/B/ST8/00980.
dc.identifier.doi10.1016/j.rinp.2021.104823
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85116930028
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2021.104823
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6727
dc.identifier.volume30
dc.identifier.wosWOS:000720802300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectTuberculosis (TB)
dc.subjectAdams-Bashforth method
dc.subjectUlam-Hyers stability
dc.titleComplex dynamics of multi strain TB model under nonlocal and nonsingular fractal fractional operator
dc.typeArticle

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