題 目💐：A stochastic SIRS epidemic model with infectious force under intervention strategies（ 一類具有行政幹預的隨機SIRS傳染病模型研究 ）
報告人：王瑋明 教授😎，溫州大學應用數學研究所所長
時 間👲🏼📥：2015年9月17日（周四）下午15:00-16:00
地 點🏩：必一体育平台報告廳
【報告內容簡介】
In this talk, we extend a classical SIRS epidemic model with the infectious forces under intervention strategies from a deterministic framework to a stochastic differential equation (SDE) one through introducing random fluctuations. The value of our study lies in two aspects. Mathematically, by using the Markov semigroups theory, we prove that the reproduction number $R_0^S$ can be used to govern the stochastic dynamics of SDE model. If $R_0^S<1$, under mild extra conditions, the SDE system has a disease-free absorbing set which means the extinction of disease with probability one. If $R_0^S>1$, under mild extra conditions, it has an endemic stationary distribution which leads to the stochastic persistence of the disease. Epidemiologically, we find that random fluctuations can suppress disease outbreak, which can provide us some useful control strategies to regulate disease dynamics.