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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/293747 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |