Global properties for virus dynamics model with mitotic transmission and intracellular delay

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:381

Article

Vargas-De-Leon, Cruz^1,2 

[1] Univ Autonoma Guerrero, Unidad Acad Matemat, Chilpancingo, Guerrero, Mexico

[2] UNAM, Fac Estudios Super Zaragoza, Iztapalapa, Mexico

关键词: Virus dynamics model;    Mitotic transmission;    Intracellular delay discrete;    Volterra-type Lyapunov functional;    Global stability;   

DOI  :  10.1016/j.jmaa.2011.04.012

来源: Elsevier

【 摘 要 】

In this paper we study the basic model of viral infections with mitotic transmission and intracellular delay discrete. The delay corresponds to the time between infection of uninfected cells and the emission of virus on a cellular level. By means of Volterra-type Lyapunov functionals, we provide the global stability for this model. Let eta be the number of virus produced per infected cell. If eta(crit), the critical number, satisfies eta <= eta(crit), then the virus-free steady state is globally asymptotically stable. On the contrary if eta > eta(crit), then the infected steady state is globally asymptotically stable if a sufficient condition is satisfied. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free