RESEARCH ARTICLE


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



Wang Zhanwei*, He Xia
Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Henan, Zhengzhou, 450015, P.R. China


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Creative Commons License
© 2015 Zhanwei and Xia

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: (https://creativecommons.org/licenses/by/4.0/legalcode). This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Henan, 450015, P.R. China; Tel: 13838523683; E-mail: zziawangzhanwei@163.com


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.