文章基本信息

标题：Analysis and control of an age-structured HIV-1 epidemic model with different transmission mechanisms
本地全文：下载
作者：Xiaoyan Wang ; Junyuan Yang ; Fei Xu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：36
DOI：10.1186/s13662-017-1455-0
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we propose a within-host HIV-1 epidemic model with cell-to-virus and cell-to-cell transmission. By mathematical analysis, we obtain the basic reproduction number R 0 $\mathcal {R}_($ , which determines the viral persistence and the basic reproduction number R 0 cc $\mathcal {R}_(^{\mathrm{cc}}$ with respect to cell-to-cell transmission which is not strong enough, i.e., it is less than 1. If the basic reproduction number is less than 1, then the viral-free steady state E 0 $E_($ is globally asymptotically stable, which is proved by fluctuation lemma and comparison method; if R 0 > 1 $\mathcal {R}_(>1$ is greater than 1, the endemic steady state E ∗ $E^{*}$ is globally asymptotically stable, which is proved by constructing the Lyapunov functional. Antiretoviral therapy is implemented to suppress the viral replication. Protease inhibitors for cell-to-cell transmission play an important role in controlling cell-to-cell infection. Under some circumstances, the effects of the cell-to-cell infection process are more sensitive than those of cell-to-virus transmission.
关键词：infection age ; antiretroviral therapy ; cell-to-cell transmission ; Lyapunov functional