具有B-D功能反映函数和T淋巴细胞免疫的病毒动力学模型稳定性  

The Global Stability Analysis of a Viral Infection Model with Beddington-DeAngelis Functional Response and Cell-Mediated Immune

作　　者：唐永鲁 陈艳丽[1] 

机构地区：[1]银川能源学院基础部,宁夏银川750105

出　　处：《西北民族大学学报（自然科学版）》2017年第1期1-6,共6页Journal of Northwest Minzu University(Natural Science)

摘　　要：文章研究了B-D功能反映函数接触率和T淋巴细胞免疫的病毒模型稳定性.通过构造Lyapunov函数和利用LaSalle不变集原理,对模型的三个平衡点全局稳定性进行了分析,得到:(1)当R0≤1时,无病平衡点E0全局渐近稳定的;(2)当R0>1,R1≤1时,地方病平衡点E1是全局渐近稳定性;(3)当R1>1时,免疫病平衡点E2全局渐近稳定性.This paper researched the global stability analysis of a viral infection model with Bedding-ton-DeAngelis functional response and cell-mediated immune. By using suitable Lyapunov function and the Lasalle invariant principle, the global stability of the three equilibria were established. We got （1） the uninfected equilibria point^E0 was globally asymptotically stable, ifR0≤1. （2） The un-immune in-fected equilibria point^E1 was globally asymptotically stable, if. R0〉l,R1≤1 （3） The immune equilibria point ^E2 was globally asymptotically stable, if^R1〉1.

关 键 词：B-D功能反映函数 T淋巴细胞免疫 再生数 平衡点 全局稳定性 

分 类 号：O175.13[理学—数学]