Document Type

Article

Publication Date

10-2006

Department

Mathematics

Abstract

The spread of tuberculosis is studied through two models which include fast and slow progression to the infected class. For each model, Lyapunov functions are used to show that when the basic reproduction number is less than or equal to one, the disease-free equilibrium is globally asymptotically stable, and when it is greater than one there is an endemic equilibrium which is globally asymptotically stable.

Comments

This article was originally published in Mathematical Biosciences and Engineering, 3(4): 603-614. (c) 2006 American Institute of Mathematical Sciences

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