Threshold dynamics of an HIV-1 model with both viral and cellular infections, cell-mediated and humoral immune responses

被引：29

作者：

Lin, Jiazhe ^{[1
]}

Xu, Rui ^{[2
,3
]}

Tian, Xiaohong ^{[2
,3
]}

机构：

[1] Army Engn Univ, Inst Appl Math, Shijiazhuang 050003, Hebei, Peoples R China

[2] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China

[3] Shanxi Univ, Shanxi Key Lab Math Tech & Big Data Anal Dis Cont, Taiyuan 030006, Shanxi, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2019年 / 16卷 / 01期

基金：

中国国家自然科学基金;

关键词：

HIV-1; infection; virus-to-cell infection; cell-to-cell transmission; cell-mediated immunity; humoral immunity; threshold dynamics; VIRUS-TO-CELL; GLOBAL STABILITY; SPREAD; DELAY;

D O I：

10.3934/mbe.2019015

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Human specific immunity consists of two branches: humoral immunity and cellular immunity. To protect us from pathogens, cell-mediated and humoral immune responses work together to provide the strongest degree of efficacy. In this paper, we propose an HIV-1 model with cell-mediated and humoral immune responses, in which both virus-to-cell infection and cell-to-cell transmission are considered. Five reproduction ratios, namely, immunity-inactivated reproduction ratio, cell-mediated immunity-activated reproduction ratio, humoral immunity-activated reproduction ratio, cell-mediated immunity-competed reproduction ratio and humoral immunity-competed reproduction ratio, are calculated and verified to be sharp thresholds determining the local and global properties of the virus model. Numerical simulations are carried out to illustrate the corresponding theoretical results and reveal the effects of some key parameters on viral dynamics.

引用

页码：292 / 319

页数：28

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