Uniform asymptotic stability of a fractional tuberculosis model

Abstract

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 $\alpha \in (0,1)$. Numerical simulations for the stability of the endemic equilibrium are provided.

This is a preprint of a paper whose final and definite form is with Math. Model. Nat. Phenom., ISSN: 0973-5348, available at http://dx.doi.org/10.1051/mmnp/2018015 . Paper Submitted 12-08-2017; Revised 19-01-2018; Accepted 22-01-2018

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• Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate
• The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems