考虑潜伏期和免疫反应的HIV模型的动力学分析  

Analysis on Dynamics of HIV Model of Latent Period and Immune Response

作　　者：彭霞[1] 

机构地区：[1]成都航空职业技术学院,成都610100

出　　处：《成都航空职业技术学院学报》2017年第1期61-63,共3页Journal of Chengdu Aeronautic Polytechnic

摘　　要：本文建立了具有C-M发生率及潜伏期的HIV传染病模型。为了能更好的描述免疫反应对感染的影响,模型中采用更为一般的免疫产生率。计算得到基本再生数及免疫再生数,分析了无病平衡点,无免疫平衡点及免疫平衡点的存在性及唯一性。通过构造Lyapunov函数,得到无病平衡点,无免疫平衡点及免疫平衡点的全局稳定性。In this paper, an HIV epidemic model with C - M incidence rate and latent period is established. To describe the influence of the immune response on infection effectively, a general immune incidence rate is adopted in the model. This paper gets the basic reproductive number and the immune reproductive number through computing, analyzes the existence and the uniqueness of the disease - free equilibrium point, non - immune equilibrium point and immune equilibrium point, and gains the global stability of the three points by constructing Lyapunov functions.

关 键 词：HIV LYAPUNOV 函数 全局稳定性 CTL免疫反应 

分 类 号：R994.1[医药卫生—毒理学]