Global properties for virus dynamics model with Beddington-DeAngelis functional response

被引：155
|
作者：
Huang, Gang [1 ,2 ]
Ma, Wanbiao [2 ]
Takeuchi, Yasuhiro [1 ]
机构：
[1] Shizuoka Univ, Grad Sch Sci & Technol, Shizuoka 4228529, Japan
[2] Univ Sci & Technol Beijing, Dept Math & Mech, Beijing 100083, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Virus dynamics; Global properties; Functional response; Lyapunov function; POPULATION-DYNAMICS; PARASITES; STABILITY;
D O I：
10.1016/j.aml.2009.06.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the global stability of virus dynamics model with Beddington-DeAngelis infection rate. By constructing Lyapunov functions, the global properties have been analysed. if the basic reproductive ratio of the virus is less than or equal to one, the uninfected steady state is globally asymptotically stable. If the basic reproductive ratio of the virus is more than one, the infected steady state is globally asymptotically stable. The conditions imply that the steady states are always globally asymptotically stable for Holling type II functional response or for a saturation response. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：1690 / 1693
页数：4
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