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Global stability of a delayed HIV-1 infection model with absorption and CTL immune response.
- Source :
- IMA Journal of Applied Mathematics; Apr2014, Vol. 79 Issue 2, p347-359, 13p
- Publication Year :
- 2014
-
Abstract
- In this paper, a delayed human immunodeficiency virus (HIV)-1 infection model with absorption and cytotoxic T lymphocytes (CTL) immune response is studied. By using suitable Lyapunov functionals and LaSalle's invariance principle, it is proved that if the basic reproductive ratio is less than unity, the infection-free equilibrium is globally asymptotically stable; if the immune response reproductive ratio is less than unity and the basic reproductive ratio is greater than unity, sufficient conditions are derived for the global stability of the CTL-inactivated infection equilibrium; if the immune response reproductive ratio is greater than unity, sufficient conditions are obtained for the global stability of the CTL-activated infection equilibrium. Numerical simulations are carried out to illustrate the theoretical results. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 02724960
- Volume :
- 79
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- IMA Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 95094511
- Full Text :
- https://doi.org/10.1093/imamat/hxs069