Uniform asymptotic stability of a fractional tuberculosis model

We propose a Caputo type fractional-order mathematical model for the transmission dynamics of tuberculosis (TB). Uniform asymptotic stability of the unique endemic equilibrium of the fractional-order TB model is proved, for any α (0, 1). Numerical simulations for the stability of the endemic equilib...

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Bibliographic Details
Main Author: Wojtak, Weronika (author)
Other Authors: Silva, Cristiana J. (author), Torres, Delfim F. M. (author)
Format: article
Language:eng
Published: 2018
Subjects:
Tuberculosis
Fractional differentiation
Ordinary differential equations
Numerical solutions
Stability
Online Access:http://hdl.handle.net/10773/24522
Country:Portugal
Oai:oai:ria.ua.pt:10773/24522
Description
Summary:We propose a Caputo type fractional-order mathematical model for the transmission dynamics of tuberculosis (TB). Uniform asymptotic stability of the unique endemic equilibrium of the fractional-order TB model is proved, for any α (0, 1). Numerical simulations for the stability of the endemic equilibrium are provided.

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