Uniform asymptotic stability of a fractional tuberculosis model

Authors :: Wojtak, Weronika
Silva, Cristiana J.
Torres, Delfim F. M.
Source :: Math. Model. Nat. Phenom. 13 (2018), no. 1, Art. 9, 10 pp
Publication Year :: 2018
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.<br />Comment: 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