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

页码：2078 / 2082

页数：5

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