A class of delayed virus dynamics models with multiple target cells

被引:0
作者
Xia Wang
Yuefen Chen
Shengqiang Liu
Xinyu Song
机构
[1] Harbin Institute of Technology,The Academy of Fundamental and Interdisciplinary Science
[2] Xinyang Normal University,College of Mathematics and information Science
来源
Computational and Applied Mathematics | 2013年 / 32卷
关键词
Virus model; Global dynamics; Time delay; Multi-target cells; Lyapunov functional; 34C05; 92D25;
D O I
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中图分类号
学科分类号
摘要
Two delayed virus dynamics models with multi-target cells and bilinear incidence rate or general incidence rate are studied in this paper. The delays correspond to be the time needed for a newly infected cell to start producing viruses and the time needed for a newly produced virus to become infectious, respectively. Our models include \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document} uninfected target cells, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document} infected target cells and the virus particles. By constructing Lyapunov functionals, we establish the global asymptotic stabilities of the infection-free equilibria and positive equilibria of these models.
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页码:211 / 229
页数:18
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