中文摘要：

建立并分析了具有饱和接触率的随机SIR模型,应用Lyapunov方法得到了随机SIR模型正解的存在性、唯一性和灭绝性.

英文摘要：

A perturbed SIR model with saturating contact rate by white noise is proposed and analyzed.By Lyapunov analysis methods,the existence and uniqueness of the positive solution are given,as well as the extinction of stochastic SIR model.