Dynamics of HIV-TB coinfection model using classical and Caputo piecewise operator: A dynamic approach with real data from South-East Asia, European and American regions

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dc.contributor.authorXu, Changjin
dc.contributor.authorLiu, Zixin
dc.contributor.authorPang, Yicheng
dc.contributor.authorAkgul, Ali
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-12-24T19:25:27Z
dc.date.available2024-12-24T19:25:27Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, we analyse the behaviour of the coinfection of the HIV-TB model using a piecewise operator in the classical-Caputo sense. For the aforementioned disease model, we present the existence as well as the uniqueness of a solution having a piecewise derivative. We also study the different versions of stability using Ulam-Hyers stability in nonlinear analysis. We use the piecewise Newton polynomial technique to obtain an approximation of the solution to the proposed problem. The simulations for the suggested coinfection model are presented. The simulations are carried out for the disease-free as well as endemic equilibrium. Additionally, the comparison between the simulated and real data is presented, where we obtain the best-fitted dynamics of the infected class with TB.
dc.description.sponsorshipNational Natural Science Foundation of China [12261015, 62062018]; Project of High-level Innovative Talents of Guizhou Province [[2016]5651]; Guizhou Key Laboratory of Big Data Statistical Analysis [[2019]5103]; Key Project of Hunan Education Department [17A181]; University Science and Technology TopTalents Project of Guizhou Province [KY[2018]047]; Foundation of Science and Technology of Guizhou Province [[2019]1051]; Guizhou University of Finance and Economics [2018XZD01]
dc.description.sponsorshipThis work is supported by National Natural Science Foundation of China (No. 12261015, No. 62062018), Project of High-level Innovative Talents of Guizhou Province ([2016]5651), Guizhou Key Laboratory of Big Data Statistical Analysis (No. [2019]5103), Key Project of Hunan Education Department (17A181), University Science and Technology TopTalents Project of Guizhou Province (KY[2018]047), Foundation of Science and Technology of Guizhou Province ([2019]1051), Guizhou University of Finance and Economics (2018XZD01).
dc.identifier.doi10.1016/j.chaos.2022.112879
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85142181702
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2022.112879
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6419
dc.identifier.volume165
dc.identifier.wosWOS:000892492600008
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectHIV-TB coinfection
dc.subjectClassical-Caputo piecewise operator
dc.subjectUlam-Hyers stability
dc.subjectNewton polynomials
dc.titleDynamics of HIV-TB coinfection model using classical and Caputo piecewise operator: A dynamic approach with real data from South-East Asia, European and American regions
dc.typeArticle

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