常州大学学报（自然科学版）2011，Vol.23Issue(1)：59-62,4.
一类病毒动力学模型的全局渐近稳定性分析
Global Properties of Virus Dynamics Models
邹定宇 1王世飞1
作者信息
- 1. 常州大学,数理学院,江苏,常州,213164
- 折叠
摘要
Abstract
Virus dynamics models with age-of-infection, age-of-expose and distributed intracellular delay were discussed. The basic reproduction number was obtained. By constructing Lyapunov functions, it was proved that the disease-free equilibrium was globally and asymptotically stable for three models.If the basic reproduction number was less than one, the disease was cleared. The endemic equilibrium was globally and asymptotically stable for three models, if the basic reproduction number was larger than one,and the disease persists.关键词
潜伏细胞年龄/染病细胞年龄/阈值/平衡点/Lyapunov函数/全局渐近稳定性Key words
age-of-expose/ age-of-infection/ threshold/ steady states/ Lyapunov function/ globally and asymptotically stable分类
数理科学引用本文复制引用
邹定宇,王世飞..一类病毒动力学模型的全局渐近稳定性分析[J].常州大学学报（自然科学版）,2011,23(1):59-62,4.
