摘要
为了研究非线性饱和发生率和饱和CTL免疫反应对乙肝病毒感染过程的影响,建立了一类具有饱和CTL免疫反应的乙肝病毒模型,并分析了该模型各平衡点的局部稳定性,通过构造恰当的Lyapunov函数建立了模型的全局稳定性.结果揭示该模型的动力学行为完全由其基本再生数和免疫反应再生数决定,即该模型为一个阈值动力系统.
In order to study the effects of saturated incidence rate and saturated CTL response on the HBV infection,we develop an HBV infection model with saturated CTL response.The local stability of all equilibria of the model proposed are analyzed,and the global stability of the model is also explored via constructing proper Lyapunov functions.It is concluded that its dynamical properties are fully determined by the the basic reproduction number and the immune response reproduction number,namely,this model preserves the threshold dynamics.
作者
蒋玉婷
王连文
JIANG Yuting;WANG Lianwen(School of Science,Hubei Minzu University,Enshi 445000,China;School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China)
出处
《湖北民族学院学报（自然科学版）》
CAS
2019年第1期64-69,共6页
Journal of Hubei Minzu University(Natural Science Edition)
基金
湖北省教育厅科技研究计划青年人才项目(Q20171904)
湖北民族学院大学生创新创业训练计划项目(2017CX05)
