This document presents a study on the global stability of steady states in two models of viral infection that include a linear immune response. The author establishes global stability using Volterra-type Lyapunov functions and LaSalle's invariance principle. The study aims to analyze virus dynamics models with a linear immune response term.

1. Journal of Nonlinear Systems and Applications (2012) 000–000
Copyright c 2012 Watam Press http://www.watam.org/JNSA/
VOLTERRA–TYPE LYAPUNOV FUNCTION FOR VIRUS
DYNAMICS MODELS WITH LINEAR IMMUNE RESPONSE
∗†‡
Cruz Vargas-De-Le´n
o
Abstract. By means of Volterra-type Lyapunov functions, we es-
tablish the global stability of the steady state of two models of viral
infections with linear immune response.
Keywords. Virus dynamics models, Immune response, Global sta-
bility, Method of Lyapunov functions, LaSalle’s invariance principle.
∗ Unidad Acad´mica de Matem´ticas, Universidad Aut´noma de
e a o
Guerrero, M´xico.
e
† Facultad de Estudios Superiores Zaragoza, UNAM, M´xico. E-
e
mails: leoncruz82@yahoo.com.mx
‡ Manuscript received March 16, 2012; revised ..... 00, 0000.
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