Liu, XuanAhmad, ShabirRahman, Mati UrNadeem, YasirAkgul, Ali2024-12-242024-12-2420220031-89491402-4896https://doi.org/10.1088/1402-4896/ac645ehttps://hdl.handle.net/20.500.12604/7080In 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.eninfo:eu-repo/semantics/closedAccessTB-HIV coinfectionMittag-Leffler kernelBanach fixed point theoremAdams-Bashforth techniqueArticle975Q2WOS:000785705300001Q12-s2.0-8512935584710.1088/1402-4896/ac645e