一类考虑CTL免疫反应的病毒动力学模型的定性分析  

Stability Analysis of a Virus Dynamics Model with CTL Immune Reponse

作　　者：李素梅[1] 罗勇[1] 胡亦郑[1,2] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035 [2]中国科学院成都计算机应用研究所,四川成都610041

出　　处：《生物数学学报》2013年第1期164-168,共5页Journal of Biomathematics

基　　金：国家自然科学基金项目(11001204)

摘　　要：在本文中,主要研究了一类具有CTL免疫反应的病毒动力学的数学模型,对其具有一般形式疾病发生率的模型进行了讨论,通过构造Lyapunov函数,给出了平衡点处的全局稳定性分析.当R_0≤1时,病毒在体内清除;当R_0>1,如果R_1<1,表示病毒最终生存而CTL免疫细胞最终消失;如果R_1>1,病毒和CTL免疫细胞会持续生存.In this paper, the dynamical behavior of the virus dynamics model with CTL immune response is considered. The stability of equilibria of the system with an infection rate in general form are analyzed by construting suitable Liapunov functions. If the threshold is less than or equal to 1 , the infection-free equilibrium is globMly asymptotically stable and the virus will be cleared.When the threshold is great than 1 and the threshold is less than 1, the immune-free equilibrium is globally asymptotically stable o If is great than 1,the endemic equilibrium persists.

关 键 词：全局稳定性 CTL免疫反应 发生率 LYAPUNOV函数 

分 类 号：O175.1[理学—数学]