Global stability for a class of virus models with cytotoxic T lymphocyte immune response and antigenic variation.
Bull Math Biol
; 73(3): 609-25, 2011 Mar.
Article
en En
| MEDLINE
| ID: mdl-20464520
We study the global stability of a class of models for in-vivo virus dynamics that take into account the Cytotoxic T Lymphocyte immune response and display antigenic variation. This class includes a number of models that have been extensively used to model HIV dynamics. We show that models in this class are globally asymptotically stable, under mild hypothesis, by using appropriate Lyapunov functions. We also characterise the stable equilibrium points for the entire biologically relevant parameter range. As a by-product, we are able to determine what is the diversity of the persistent strains.
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Variación Antigénica
/
Linfocitos T Citotóxicos
/
Infecciones por VIH
/
VIH
/
Modelos Inmunológicos
Tipo de estudio:
Prognostic_studies
Límite:
Humans
Idioma:
En
Revista:
Bull Math Biol
Año:
2011
Tipo del documento:
Article
País de afiliación:
Brasil
Pais de publicación:
Estados Unidos