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Fractal fractional model for tuberculosis: existence and numerical solutions
by
Khan, Aziz
, Shah, Kamal
, Amacha, Inas
, Abdeljawad, Thabet
in
631/114/2397
/ 639/705
/ Algorithms
/ Banach’s contraction
/ Differential equations
/ Existence criteria
/ Fractal fractional operator
/ Fractals
/ Humanities and Social Sciences
/ Humans
/ Mathematical analysis
/ Models, Biological
/ Models, Theoretical
/ multidisciplinary
/ Mycobacterium tuberculosis - pathogenicity
/ Numerical analysis
/ Science
/ Science (multidisciplinary)
/ Tuberculosis
/ Tuberculosis - microbiology
/ UH stability
2024
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Fractal fractional model for tuberculosis: existence and numerical solutions
by
Khan, Aziz
, Shah, Kamal
, Amacha, Inas
, Abdeljawad, Thabet
in
631/114/2397
/ 639/705
/ Algorithms
/ Banach’s contraction
/ Differential equations
/ Existence criteria
/ Fractal fractional operator
/ Fractals
/ Humanities and Social Sciences
/ Humans
/ Mathematical analysis
/ Models, Biological
/ Models, Theoretical
/ multidisciplinary
/ Mycobacterium tuberculosis - pathogenicity
/ Numerical analysis
/ Science
/ Science (multidisciplinary)
/ Tuberculosis
/ Tuberculosis - microbiology
/ UH stability
2024
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Do you wish to request the book?
Fractal fractional model for tuberculosis: existence and numerical solutions
by
Khan, Aziz
, Shah, Kamal
, Amacha, Inas
, Abdeljawad, Thabet
in
631/114/2397
/ 639/705
/ Algorithms
/ Banach’s contraction
/ Differential equations
/ Existence criteria
/ Fractal fractional operator
/ Fractals
/ Humanities and Social Sciences
/ Humans
/ Mathematical analysis
/ Models, Biological
/ Models, Theoretical
/ multidisciplinary
/ Mycobacterium tuberculosis - pathogenicity
/ Numerical analysis
/ Science
/ Science (multidisciplinary)
/ Tuberculosis
/ Tuberculosis - microbiology
/ UH stability
2024
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Fractal fractional model for tuberculosis: existence and numerical solutions
Journal Article
Fractal fractional model for tuberculosis: existence and numerical solutions
2024
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Overview
This paper deals with the mathematical analysis of Tuberculosis by using fractal fractional operator. Mycobacterium TB is the bacteria that causes tuberculosis. This airborne illness mostly impacts the lungs but may extend to other body organs. When the infected individual coughs, sneezes or speaks, the bacterium gets released into the air and travels from one person to another. Five classes have been formulated to study the dynamics of this disease: susceptible class, infected of DS, infected of MDR, isolated class, and recovered class. To study the suggested fractal fractional model’s wellposedness associated with existence results, and boundedness of solutions. Further, the invariant region of the considered model, positive solutions, equilibrium point, and reproduction number. One would typically employ a fractional calculus approach to obtain numerical solutions for the fractional order Tuberculosis model using the Adams-Bashforth-Moulton method. The fractional order derivatives in the model can be approximated using appropriate numerical schemes designed for fractional order differential equations.
Publisher
Nature Publishing Group UK,Nature Publishing Group,Nature Portfolio
Subject
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