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- Title
Global Dynamics of an In-host Viral Model with Intracellular Delay.
- Authors
Li, Michael Y.; Hongying Shu
- Abstract
The dynamics of a general in-host model with intracellular delay is studied. The model can describe in vivo infections of HIV-I, HCV, and HBV. It can also be considered as a model for HTLV-I infection. We derive the basic reproduction number R0 for the viral infection, and establish that the global dynamics are completely determined by the values of R0. If R0≤1, the infection-free equilibrium is globally asymptotically stable, and the virus are cleared. If R0>1, then the infection persists and the chronic-infection equilibrium is locally asymptotically stable. Furthermore, using the method of Lyapunov functional, we prove that the chronic-infection equilibrium is globally asymptotically stable when R0>1. Our results shows that for intercellular delays to generate sustained oscillations in in-host models it is necessary have a logistic mitosis term in target-cell compartments.
- Subjects
VIRUS diseases; HIV infections; LYAPUNOV functions; DIFFERENTIAL equations; MITOSIS
- Publication
Bulletin of Mathematical Biology, 2010, Vol 72, Issue 6, p1492
- ISSN
0092-8240
- Publication type
Article
- DOI
10.1007/s11538-010-9503-x