Analysis of a TB and HIV co-infection model under Mittag-Leffler fractal-fractional derivative
[ X ]
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Iop Publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
TB-HIV coinfection, Mittag-Leffler kernel, Banach fixed point theorem, Adams-Bashforth technique
Kaynak
Physica Scripta
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
97
Sayı
5
