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Title: Uniform asymptotic stability of a fractional tuberculosis model
Author: Wojtak, Weronika
Silva, Cristiana J.
Torres, Delfim F. M.
Keywords: Tuberculosis
Fractional differentiation
Ordinary differential equations
Numerical solutions
Issue Date: 22-Jan-2018
Publisher: EDP Sciences
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 α (0, 1). Numerical simulations for the stability of the endemic equilibrium are provided.
Peer review: yes
DOI: 10.1051/mmnp/2018015
ISSN: 0973-5348
Publisher Version:
Appears in Collections:SCG - Artigos

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