A study of fractional TB model due to mycobacterium tuberculosis bacteria

Sunil Kumar; R. P. Chauhan; Shaher Momani; Samir Hadid

doi:10.1016/j.chaos.2021.111452

A study of fractional TB model due to mycobacterium tuberculosis bacteria

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

Nonlinear Dynamic Research Centre (NDRC)

National Institute of Technology Jamshedpur
University of Jordan
Ajman University

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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.

Original language	English
Article number	111452
Journal	Chaos, Solitons and Fractals
Volume	153
DOIs	https://doi.org/10.1016/j.chaos.2021.111452
State	Published - Dec 2021

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

ABC derivative
CF derivative
Existence and uniqueness
Fractional-order TB model
Numerical simulation

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10.1016/j.chaos.2021.111452

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title = "A study of fractional TB model due to mycobacterium tuberculosis bacteria",

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 = "ABC derivative, CF derivative, Existence and uniqueness, Fractional-order TB model, Numerical simulation",

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AU - Kumar, Sunil

AU - Chauhan, R. P.

AU - Momani, Shaher

AU - Hadid, Samir

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

KW - ABC derivative

KW - CF derivative

KW - Existence and uniqueness

KW - Fractional-order TB model

KW - Numerical simulation

UR - https://www.scopus.com/pages/publications/85116940359

U2 - 10.1016/j.chaos.2021.111452

DO - 10.1016/j.chaos.2021.111452

M3 - Article

AN - SCOPUS:85116940359

SN - 0960-0779

VL - 153

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 111452

ER -

A study of fractional TB model due to mycobacterium tuberculosis bacteria

Abstract

UN SDGs

Keywords

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