数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 45-51.

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具有离散时滞的HIV-I免疫反应模型的数学分析

  

  1. 1. Department of Mathematical and Physics, Zhengzhou Institute of Aeronautical, Industry Management2. School of Mathematics and Statistics, Southwest University

  • 收稿日期:2007-09-03 出版日期:2010-03-30 发布日期:2023-06-09
  • 作者简介:WANG Zhan-wei(1979- ), male, native of Jiyuan, Henan, a lecturer of Zhengzhou Institute of Aeronautical, Industry Management, M.S.D., engages in mathematical biology.
  • 基金资助:
     Supposed by the National Science Fund of China(10571143);

Mathematical Analysis of Immune Response of HIV-I Including Delay

  1. 1. Department of Mathematical and Physics, Zhengzhou Institute of Aeronautical, Industry Management2. School of Mathematics and Statistics, Southwest University

  • Received:2007-09-03 Online:2010-03-30 Published:2023-06-09
  • About author:WANG Zhan-wei(1979- ), male, native of Jiyuan, Henan, a lecturer of Zhengzhou Institute of Aeronautical, Industry Management, M.S.D., engages in mathematical biology.
  • Supported by:
     Supposed by the National Science Fund of China(10571143);

摘要: This paper considers a model of cell-to-cell spread of HIV-I with CTL immune response. By using a discrete delay to model the intracellular delay, it is shown that the uninfected equilibrium is globally asymptotical stable in some conditions and the sufficient condition to ensure the stability of the infected equilibrium does not change would be enlarged by Sturm sequence. Numerical simulations are presented to illustrate the results.


关键词:  HIV-I infection, intercellular delay, characteristic equation, immune response

Abstract: This paper considers a model of cell-to-cell spread of HIV-I with CTL immune response. By using a discrete delay to model the intracellular delay, it is shown that the uninfected equilibrium is globally asymptotical stable in some conditions and the sufficient condition to ensure the stability of the infected equilibrium does not change would be enlarged by Sturm sequence. Numerical simulations are presented to illustrate the results.


Key words:  HIV-I infection, intercellular delay, characteristic equation, immune response

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