具有免疫反应的乙肝病毒时滞动力学模型

韩晓丽; 靳祯

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具有免疫反应的乙肝病毒时滞动力学模型

更新时间：2026-09-14

- 具有免疫反应的乙肝病毒时滞动力学模型
- 具有免疫反应的乙肝病毒时滞动力学模型
- Issue 1, (2011)
- 作者机构：
  
  中北大学理学院
- 作者简介：
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- Published：2011
- 稿件说明：
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韩晓丽, 靳祯. 具有免疫反应的乙肝病毒时滞动力学模型[J]. 2011, (1).
DOI：

韩晓丽, 靳祯. 具有免疫反应的乙肝病毒时滞动力学模型[J]. 2011, (1). DOI：

摘要

建立了具有时滞的乙肝病毒动力学模型

考虑了毒性T淋巴细胞对染病细胞的免疫反应.利用线性特征方程分析法证明了当基本再生数小于1时

无病平衡点是局部渐近稳定的.利用单调迭代法得到了正平衡点全局稳定的条件.最后由数值模拟验证了当基本再生数为3.274 9时

模型有渐近稳定的动力学性态.

Abstract

A dynamic model of hepatitis B virus with delayed immune response was investigated.Cytotoxic T lymphocyte immune response of infected cells was considered.By using linear characteristic equation analysis

it is proved that if basic reproductive ratio of the virus is less than one

the infection-free equilibrium is locally asymptotically stable.By using the iterative methods

the globally stable conditions of the positive equilibrium were obtained.Numerical results show that if basic reproductive ratio is 3.274 9

the model is asymptotically stable.

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