责任编辑：曾晶）
The Stability Analysis of a Type of SIS Model with Vertical Transmission Rate
GUO Jinsheng*， ZHANG Shengcheng
（School of Mathematics and Statistics，Hexi University，Zhangye 734000，China）
Abstract：
An SIS epidemic model with vertical transmission and nonlinear incidence rate was discussed， and the basic reproduction number R0 was given. When R0≤1， the system exists disease free equilibrium which is globally asymptotical stable； when R0>1， the system has a unique positive endemic equilibrium which is part asymptotical stable.
Key words：
epidemic model； equilibrium point； the basic reproductive number； global asymptotic stability
相关热词搜索： 发生率 传染病 垂直 稳定性 传染