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新疆大学数学与系统科学学院
Published:2024
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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.
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.
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.
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