| Autor: |
EMVUDU, YVES, MEWOLI, BOULCHARD, TEWA, JEAN JULES, KOUENKAM, JEAN PIERRE |
| Předmět: |
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| Zdroj: |
International Journal of Information & Systems Sciences; 2011, Vol. 7 Issue 4, p279-302, 24p |
| Abstrakt: |
This paper deals with the mathematical analysis of the spread of tuberculosis through a two-strain model, using the standard incidence. Besides the disease free equilibrium, analysis shows that there can be till two others equilibria. One of the two equilibria corresponding to a state where only the resistant strain is present while the other one corresponds to a state where both strains are present. Furthermore analysis reveals that the basic reproduction number R0 is the maximum of two parameters R1 and R2 that express competition between the sensible strain of mycobacterium tuberculosis and the resistant one. Finally, it shows that if R0 ≤ 1 the disease free equilibrium is globally and asymptotically stable on the non negative orthant and if R0 > 1 one of the other equilibria is globally and asymptotically stable. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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