Academic Editor: D. Anderson
Copyright © 2010 Hai-Feng Huo et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A two-strain tuberculosis model with general contact rate which allows tuberculosis patients with the drug-sensitive Mycobacterium tuberculosis strain to be treated is presented.
The model includes both drug-sensitive and drug-resistant strains. A detailed qualitative
analysis about positivity, boundedness, existence, uniqueness and global stability of the equilibria of this model is carried out. Analytical results of the model show that the quantities
and , which represent the basic reproduction numbers of the sensitive and resistant
strains, respectively, provide the threshold conditions which determine the competitive outcomes of the two strains. Numerical simulations are also conducted to confirm and extend
the analytic results.