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GLOBAL DYNAMICS OF AN IN-HOST HIV-1 INFECTION MODEL WITH THE LONG-LIVED INFECTED CELLS AND FOUR INTRACELLULAR DELAYS.
- Source :
- International Journal of Biomathematics; Nov2012, Vol. 5 Issue 6, p-1, 12p
- Publication Year :
- 2012
-
Abstract
- In this paper, we investigate global dynamics for an in-host HIV-1 infection model with the long-lived infected cells and four intracellular delays. Our model admits two possible equilibria, an uninfected equilibrium and infected equilibrium depending on the basic reproduction number. We derive that the global dynamics are completely determined by the values of the basic reproduction number: if the basic reproduction number is less than one, the uninfected equilibrium is globally asymptotically stable, and the virus is cleared; if the basic reproduction number is larger than one, then the infection persists, and the infected equilibrium is globally asymptotically stable. [ABSTRACT FROM AUTHOR]
- Subjects :
- HIV infections
BIOMATHEMATICS
LYAPUNOV functions
EQUILIBRIUM
T cells
Subjects
Details
- Language :
- English
- ISSN :
- 17935245
- Volume :
- 5
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- International Journal of Biomathematics
- Publication Type :
- Academic Journal
- Accession number :
- 101515464
- Full Text :
- https://doi.org/10.1142/S1793524512500581