Math. Model. Nat. Phenom.
Volume 13, Number 1, 2018
Theory and applications of fractional differentiation
|Number of page(s)||10|
|Published online||06 April 2018|
Uniform asymptotic stability of a fractional tuberculosis model
Algoritmi Center, University of Minho,
2 Center of Mathematics, University of Minho, 4800-058 Guimarães, Portugal
3 Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
* Corresponding author: firstname.lastname@example.org
Accepted: 22 January 2018
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.
Mathematics Subject Classification: 26A33 / 34C60 / 34D20 / 92C60
Key words: Tuberculosis / fractional differentiation / ordinary differential equations / numerical solutions / stability
© EDP Sciences, 2018
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