Globale Stability in a Viral Infection Model with Beddington-DeAngelis Functional Response
RESEARCH ARTICLE

Globale Stability in a Viral Infection Model with Beddington-DeAngelis Functional Response

Wang Zhanwei, * Open Modal He Xia
Authors Info & Affiliations
The Open Biotechnology Journal • 29 May 2015 • RESEARCH ARTICLE • DOI: 10.2174/1874070701509010027

Abstract

The stability of a mathematical model for viral infection with Beddington-DeAngelis functional response is considered in this paper. If the basic reproduction number R ≤1, by the Routh-Hurwitz criterion and Lyapunov function, the uninfected equilibrium E is globally asymptotically stable. Then, the global stability of the infected equilibrium E is obtained by the method of Lyapunov function

Keywords: Beddington-DeAngelis, equilibrium, Global dynamics, HIV model.