Global stability of a discrete virus dynamics model with Holling type-II infection function

被引：20
|
作者：
Yang, Yu [1 ]
Ma, Xinsheng [1 ]
Li, Yahui [1 ]
机构：
[1] Zhejiang Int Studies Univ, Sch Sci & Technol, Hangzhou 310012, Zhejiang, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 08期
关键词：
virus dynamics model; non-standard finite difference; Lyapunov function; global stability; POPULATION-DYNAMICS;
D O I：
10.1002/mma.3624
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a discrete virus dynamics model with Holling type-II infection function. By constructing Lyapunov function, we prove that if R01, then the infection-free equilibrium is globally asymptotically stable; whereas if R0>1, then sufficient conditions are established for global stability of the infection equilibrium. Our results generalize some known results studied by other researchers. Copyright (c) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码：2078 / 2082
页数：5
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