A study of fractional TB model due to mycobacterium tuberculosis bacteria

Sunil Kumar, R.P. Chauhan, Shaher Momani and Samir Hadid

Chaos, Solitons & Fractals, 2021, vol. 153, issue P2

Abstract: The main purpose of the proposed work is to study a TB infection model under incomplete treatment numerically and identify potential infection dynamics. We use the arbitrary-order Caputo-Fabrizio (CF) and Atangana-Baleanu (AB) derivatives to extend the classical TB infection model into a non-classical model. In addition, through fixed-point results, the existence and uniqueness of solutions for the arbitrary order TB model are discussed. We illustrate computational techniques from existing literature for the numerical solutions of the mentioned fractional models. The numerical simulations are presented using MATLAB software with various choices of the fractional-order parameter.

Keywords: Fractional-order TB model; CF derivative; ABC derivative; Existence and uniqueness; Numerical simulation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921008067

DOI: 10.1016/j.chaos.2021.111452

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