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GLOBAL DYNAMICS OF AN IN-HOST HIV-1 INFECTION MODEL WITH THE LONG-LIVED INFECTED CELLS AND FOUR INTRACELLULAR DELAYS.

Authors :
ZHOU, YICANG
WANG, SHIFEI
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]

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