Abstract
The rate of infection in many virus dynamics models is assumed to be bilinear in the virus and uninfected target cells. In this paper, the dynamical behavior of a virus dynamics model with general incidence rate and cure rate is studied. Global dynamics of the model is established. We prove that the virus is cleared and the disease dies out if the basic reproduction number R 0≤1 while the virus persists in the host and the infection becomes endemic if R 0>1.
| Original language | English |
|---|---|
| Pages (from-to) | 1866-1872 |
| Number of pages | 7 |
| Journal | Nonlinear Analysis: Real World Applications |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Aug 2012 |
| Externally published | Yes |
Keywords
- Barbalat's lemma
- Cure rate
- General incidence rate
- Global stability
- Virus dynamics
ASJC Scopus subject areas
- Analysis
- Engineering(all)
- Economics, Econometrics and Finance(all)
- Computational Mathematics
- Applied Mathematics