TY - JOUR
T1 - Virus dynamics
T2 - A global analysis
AU - De Leenheer, Patrick
AU - Smith, Hal
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2003/3
Y1 - 2003/3
N2 - Exploiting the fact that standard models of within-host viral infections of target cell populations by HIV, developed by Perelson and Nelson [SIAM Rev., 41 (1999), pp. 3-44] and Nowak and May [Virus Dynamics, Oxford University Press, New York, 2000], give rise to competitive three dimensional dynamical systems, we provide a global analysis of their dynamics. If the basic reproduction number R0 < 1, the virus is cleared and the disease dies out; if R0 > 1, then the virus persists in the host, solutions approaching either a chronic disease steady state or a periodic orbit. The latter can be ruled out in some cases but not in general.
AB - Exploiting the fact that standard models of within-host viral infections of target cell populations by HIV, developed by Perelson and Nelson [SIAM Rev., 41 (1999), pp. 3-44] and Nowak and May [Virus Dynamics, Oxford University Press, New York, 2000], give rise to competitive three dimensional dynamical systems, we provide a global analysis of their dynamics. If the basic reproduction number R0 < 1, the virus is cleared and the disease dies out; if R0 > 1, then the virus persists in the host, solutions approaching either a chronic disease steady state or a periodic orbit. The latter can be ruled out in some cases but not in general.
KW - Global stability
KW - HIV
KW - Oscillations
KW - Virus dynamics
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U2 - 10.1137/S0036139902406905
DO - 10.1137/S0036139902406905
M3 - Article
AN - SCOPUS:0041474671
VL - 63
SP - 1313
EP - 1327
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
SN - 0036-1399
IS - 4
ER -