Name
Abstract | ||
|---|---|---|
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 R-0 < 1, the virus is cleared and the disease dies out; if R-0 > 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. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1137/S0036139902406905 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | DocType | Volume |
virus dynamics,global stability,oscillations,HIV | Journal | 63 |
Issue | ISSN | Citations |
4 | 0036-1399 | 33 |
PageRank | References | Authors |
9.41 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hal L. Smith | 1 | 111 | 31.87 |
| patrick de leenheer | 2 | 147 | 35.83 |