Open Access
2010 Stability of a Two-Strain Tuberculosis Model with General Contact Rate
Hai-Feng Huo, Shuai-Jun Dang, Yu-Ning Li
Abstr. Appl. Anal. 2010: 1-31 (2010). DOI: 10.1155/2010/293747


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 R 1 and R 2 , 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.


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Hai-Feng Huo. Shuai-Jun Dang. Yu-Ning Li. "Stability of a Two-Strain Tuberculosis Model with General Contact Rate." Abstr. Appl. Anal. 2010 1 - 31, 2010.


Published: 2010
First available in Project Euclid: 12 August 2011

zbMATH: 1217.34082
MathSciNet: MR2771236
Digital Object Identifier: 10.1155/2010/293747

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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