带潜伏期和年龄结构流行病模型的稳定性  

Stability of an Age-structured Epidemic Model with Latent Period

作　　者：杨金根[1] 张留伟[1] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《许昌学院学报》2010年第5期4-8,共5页Journal of Xuchang University

摘　　要：根据肺结核的传播特点,建立了带潜伏期和潜伏年龄的数学模型.证明了当基本再生数R0<1时,系统无病平衡点是局部和全局渐近稳定的;当R0>1时,无病平衡点不稳定,此时系统存在一个地方病平衡点,并证明了该地方病平衡点是局部渐近稳定的.Based on the infection characteristics of TB,an age-structured epidemic model with latent period is studied.It is proved that the disease-free equilibrium is locally and globally asymptotically stable if R0〈1,one endemic equilibrium exists if R0〉1,and the stability conditions of endemic equilibrium are also given.

关 键 词：潜伏年龄 基本再生数 地方病平衡点 稳定性 

分 类 号：O175.2[理学—数学]