Abstract and Applied Analysis

Stability of a Two-Strain Tuberculosis Model with General Contact Rate

Hai-Feng Huo, Shuai-Jun Dang, and Yu-Ning Li

Full-text: Open access

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 293747, 31 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170953

Digital Object Identifier
doi:10.1155/2010/293747

Mathematical Reviews number (MathSciNet)
MR2771236

Zentralblatt MATH identifier
1217.34082

Citation

Huo, Hai-Feng; Dang, Shuai-Jun; Li, Yu-Ning. Stability of a Two-Strain Tuberculosis Model with General Contact Rate. Abstr. Appl. Anal. 2010 (2010), Article ID 293747, 31 pages. doi:10.1155/2010/293747. https://projecteuclid.org/euclid.aaa/1313170953


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