Stability of a Two-Strain Tuberculosis Model with General Contact Rate
Joint Authors
Huo, Hai-Feng
Dang, Shuai-Jun
Li, Yu-Ning
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-31, 31 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-21
Country of Publication
Egypt
No. of Pages
31
Main Subjects
Abstract EN
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 R1 and R2, 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.
American Psychological Association (APA)
Huo, Hai-Feng& Dang, Shuai-Jun& Li, Yu-Ning. 2011. Stability of a Two-Strain Tuberculosis Model with General Contact Rate. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-31.
https://search.emarefa.net/detail/BIM-461067
Modern Language Association (MLA)
Huo, Hai-Feng…[et al.]. Stability of a Two-Strain Tuberculosis Model with General Contact Rate. Abstract and Applied Analysis No. 2010 (2010), pp.1-31.
https://search.emarefa.net/detail/BIM-461067
American Medical Association (AMA)
Huo, Hai-Feng& Dang, Shuai-Jun& Li, Yu-Ning. Stability of a Two-Strain Tuberculosis Model with General Contact Rate. Abstract and Applied Analysis. 2011. Vol. 2010, no. 2010, pp.1-31.
https://search.emarefa.net/detail/BIM-461067
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461067