Global Stability for a Viral Infection Model with Saturated Incidence Rate

被引：1

作者：

Peng, Huaqin ^{[1
]}

Guo, Zhiming ^{[1
,2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Guangzhou Univ, Higher Educ Inst, Key Lab Math & Interdisciplinary Sci Guangdong, Guangzhou 510006, Guangdong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

VIRUS; DYNAMICS; CELLS;

D O I：

10.1155/2014/187897

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A viral infection model with saturated incidence rate and viral infection with delay is derived and analyzed; the incidence rate is assumed to be a specific nonlinear form beta xv/(1 + alpha v). The existence and uniqueness of equilibrium are proved. The basic reproductive number R-0 is given. The model is divided into two cases: with or without delay. In each case, by constructing Lyapunov functionals, necessary and sufficient conditions are given to ensure the global stability of the models.

引用

页数：9

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