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arxiv: 1801.07059 · v1 · pith:7OPALRXGnew · submitted 2018-01-22 · 🧮 math.OC · math.CA· math.DS· q-bio.PE

Uniform asymptotic stability of a fractional tuberculosis model

classification 🧮 math.OC math.CAmath.DSq-bio.PE
keywords modelstabilityasymptoticendemicequilibriumfractional-ordertuberculosisuniform
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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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