Stability analysis for delayed viral infection model with multitarget cells and general incidence rate

被引：2
|
作者：
Wang, Jinliang [1 ]
Tian, Xinxin [1 ]
Wang, Xia [2 ,3 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[2] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R China
[3] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2016年 / 9卷 / 01期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Viral infection model; multitarget cells; nonlinear incidence rate; global stability; Lyapunov functional; GLOBAL THRESHOLD DYNAMICS; HIV-1; DYNAMICS; MATHEMATICAL-ANALYSIS; VIRUS DYNAMICS; IMPACT;
D O I：
10.1142/S1793524516500078
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, the sharp threshold properties of a (2n + 1)-dimensional delayed viral infection model are investigated. This model combines with n classes of uninfected target cells, n classes of infected cells and nonlinear incidence rate h(x, v). Two kinds of distributed time delays are incorporated into the model to describe the time needed for infection of uninfected target cells and virus replication. Under certain conditions, it is shown that the basic reproduction number is a threshold parameter for the existence of the equilibria, uniform persistence, as well as for global stability of the equilibria of the model.
引用
收藏
页数：21
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