Stability of a Two-Strain Tuberculosis Model with General Contact Rate
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, boun...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/293747 |
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| _version_ | 1849691427588538368 |
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| author | Hai-Feng Huo Shuai-Jun Dang Yu-Ning Li |
| author_facet | Hai-Feng Huo Shuai-Jun Dang Yu-Ning Li |
| author_sort | Hai-Feng Huo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e7beac7b016342339da90ee65c9bca5e |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e7beac7b016342339da90ee65c9bca5e2025-08-20T03:21:02ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/293747293747Stability of a Two-Strain Tuberculosis Model with General Contact RateHai-Feng Huo0Shuai-Jun Dang1Yu-Ning Li2Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaInstitute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaDepartment of Pediatrics, First Hospital of Lanzhou University, Lanzhou, Gansu 730000, ChinaA 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.http://dx.doi.org/10.1155/2010/293747 |
| spellingShingle | Hai-Feng Huo Shuai-Jun Dang Yu-Ning Li Stability of a Two-Strain Tuberculosis Model with General Contact Rate Abstract and Applied Analysis |
| title | Stability of a Two-Strain Tuberculosis Model with General Contact Rate |
| title_full | Stability of a Two-Strain Tuberculosis Model with General Contact Rate |
| title_fullStr | Stability of a Two-Strain Tuberculosis Model with General Contact Rate |
| title_full_unstemmed | Stability of a Two-Strain Tuberculosis Model with General Contact Rate |
| title_short | Stability of a Two-Strain Tuberculosis Model with General Contact Rate |
| title_sort | stability of a two strain tuberculosis model with general contact rate |
| url | http://dx.doi.org/10.1155/2010/293747 |
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