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GLOBAL STABILITY IN A TUBERCULOSIS MODEL INCORPORATING TWO LATENT PERIODS

LUJU LIU

Department of Mathematics, Xi'an Jiaotong University, Xi'an, 710049, P. R. China

Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL A1C 5S7, Canada

https://doi.org/10.1142/S1793524509000480Cited by:10 (Source: Crossref)

Abstract

A tuberculosis (TB) model with two latent periods, short-term latent period (E₁) and long-term latent period (E₂), and fast and slow progressions is analyzed. The stability of the unique endemic equilibrium of the model is proved. It turns out that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number R₀ ≤ 1, and the endemic equilibrium is globally asymptotically stable if R₀ > 1.

Keywords:

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