Global stability of a diffusive and delayed virus dynamics model with Beddington-DeAngelis incidence function and CTL immune response

被引：26

作者：

Yang, Yu ^{[1
]}

Xu, Yancong ^{[2
]}

机构：

[1] Zhejiang Int Studies Univ, Sch Sci & Technol, Hangzhou 310012, Zhejiang, Peoples R China

[2] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 71卷 / 04期

关键词：

Virus dynamics model; CTL immune response; Lyapunov functional; Global stability; HIV-1 INFECTION MODEL; INTRACELLULAR DELAYS; TIME-DELAY; HBV MODEL; ASYMPTOTIC PROPERTIES; NONLINEAR INCIDENCE; VIRAL-INFECTIONS;

D O I：

10.1016/j.camwa.2016.01.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a diffusive and delayed virus dynamics model with Beddington-DeAngelis incidence and CTL immune response. By constructing Lyapunov functionals, we show that if the basic reproductive number is less than or equal to one, then the infection-free equilibrium is globally asymptotically stable; if the immune reproductive number is less than or equal to one and the basic reproductive number is greater than one, then the immune-free equilibrium is globally asymptotically stable; if the immune reproductive number is greater than one, then the interior equilibrium is globally asymptotically stable. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：922 / 930

页数：9

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