摘要
研究了带有生理年龄和传染年龄的传染病模型,得到了地方病平衡点存在的条件,并分析了无病平衡态和地方病平衡态局部稳定的条件.
A non-linear system of differential equations that models the dynamics of the age structure of a population with a disease is studied ,where the age includes infection age and chronological age. Analysis of the model reveals the existence of two equilibrium points, one of the equilibrium points corresponds to the disease-free state, the other corresponds to the endemic state. Conditions for the local stability of equilibrium points are discussed.
出处
《信阳师范学院学报(自然科学版)》
CAS
北大核心
2006年第4期384-387,共4页
Journal of Xinyang Normal University(Natural Science Edition)
基金
Supported by NSF of Hennan provience(0611051800)
关键词
传染年龄
地方病平衡点
局部稳定
infection age
endemic equilibrium point
local stability