具有两种传播方式和适应性免疫时滞的HBV感染模型研究

王泽东; 张龙

doi:10.13568/j.cnki.651094.651316.2023.11.29.0001

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具有两种传播方式和适应性免疫时滞的HBV感染模型研究

数理科学 | 更新时间：2026-01-21

- 具有两种传播方式和适应性免疫时滞的HBV感染模型研究
- 具有两种传播方式和适应性免疫时滞的HBV感染模型研究
- 新疆大学学报（自然科学版中英文） 2024年41卷第5期页码：519-531
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  国家自然科学基金“多毒株-斑块间-体内外耦合传播动力学模型研究及应用”（12261087）,“马尔可夫转换下的生态动力学模型研究及应用”（11861065）;新疆维吾尔自治区自然科学杰出青年基金“具有空间扩散及多毒株耦合传播的传染病模型研究及应用”（2022D01E41）;新疆维吾尔自治区高校科研重点项目“多系统随机切换下的生态动力学模型研究及应用”（XJEDU2021I002）;新疆维吾尔自治区应用数学重点实验室开放课题“生态稳定与传染病防控动力学研究”（2021D04014）
- DOI：10.13568/j.cnki.651094.651316.2023.11.29.0001
  中图分类号： R181;O175
- 纸质出版：2024
- 稿件说明：
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[1]王泽东,张龙.具有两种传播方式和适应性免疫时滞的HBV感染模型研究[J].新疆大学学报(自然科学版中英文),2024,41(05):519-531.
[1]王泽东,张龙.具有两种传播方式和适应性免疫时滞的HBV感染模型研究[J].新疆大学学报(自然科学版中英文),2024,41(05):519-531. DOI： 10.13568/j.cnki.651094.651316.2023.11.29.0001.

DOI：10.13568/j.cnki.651094.651316.2023.11.29.0001.

摘要

提出了一类具有饱和发生率和适应性免疫反应时滞的HBV感染模型

同时考虑两种感染途径.该模型包括未感染肝细胞、感染肝细胞、游离HBV病毒、CTL免疫反应和抗体响应5个仓室.定义5个阈值:感染基本再生数R0

抗体免疫再生数R1

CTL免疫再生数R2

CTL免疫竞争再生数R3和抗体免疫竞争再生数R4.得到了模型平衡点的存在唯一性.通过分析特征方程、构造Lyapunov泛函和Lasalle不变原理

建立了各类平衡点局部以及全局渐近稳定性的判定准则.

Abstract

In this paper

we propose a delayed HBV infection model with saturation incidence and adaptive immune response

considering two infection pathways. The model includes five compartments of uninfected hepatocytes

infected hepatocytes

free HBV virus

CTL immune response

and antibodies. Define five thresholds:infection basic reproductive number R0

antibody immune reproductive number R1

CTL immune reproductive number R2

CTL immune competition reproductive number R3 and antibody immune competition reproductive number R4. Five kinds of equilibria of the model are obtained. By analyzing the characteristic equations and constructing suitable Lyapunov functionals and Lasalle invariance principles

the criteria for local and global asymptotic stability of each equilibrium are established.

关键词

Keywords

references

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