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arXiv · 1801.07059

Uniform asymptotic stability of a fractional tuberculosis model

Weronika Wojtak·Cristiana J. Silva·Delfim F. M. Torres
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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.

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Weronika Wojtak, Cristiana J. Silva, Delfim F. M. Torres. 2018-01-22. Uniform asymptotic stability of a fractional tuberculosis model. https://doi.org/10.1051/mmnp/2018015

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