一类具有预防接种和垂直传染的SIRS传染病模型分析  

Analysis of SIRS epidemic model with its vaccination and its vertical transmission

作　　者：朱春娟[1] 

机构地区：[1]韶关学院数学与信息科学学院,广东韶关512005

出　　处：《韶关学院学报》2013年第12期10-13,共4页Journal of Shaoguan University

摘　　要：讨论了一类接触率与总人口有关,免疫接种和垂直传染因素对传染病流行影响的SIRS模型.确定了各种平衡点的阈值,当阈值小于1时,无病平衡点是全局渐近稳定的;当阈值大于1时,地方平衡点是全局渐近稳定的.This paper discussed an SIRS epidemic model with its contact rate about the total population, and its vaccination and vertical transmission. The threshold to the existence of various equilibriums was established. When the threshold was less than one, the disease-free equilibrium was global stable; when the threshold was bigger than one, the endemic equilibrium was global stable.

关 键 词：传染病模型 垂直传染率 无病平衡点 地方平衡点 阈值 全局渐近稳定 

分 类 号：O175.1[理学—数学]