报告题目：Some recent work on stochastic epidemic models
     报告人：王玮明 教授  淮阴师范学院

邀请人：常永奎 教授、吴事良 教授
     报告时间：2018年11月9日下午2:20
     报告地点：信远楼II206数统院报告厅

报告人简介：玮明，1968年6月生于甘肃正宁，理学博士。现为淮阴师范学院“翔宇学者”、数学科学学院教授；淮安市传染病防控及预警重点实验室主任、淮阴师范学院生物数学研究中心主任；中国生物数学学会常务理事、副秘书长；美国数学会《数学评论》特邀评论员。2017年入选淮安市学术技术领军人才。曾入选浙江省“新世纪151人才工程”第二层次，十二五期间任浙江省重点学科“应用数学”学科带头人。主要研究兴趣生物数学和计算机数学，主持国家自然科学基金2项，研究成果获甘肃省科技进步奖三等奖和浙江省自然科学奖三等奖各1项。
   报告摘要：In this talk, I will introduce some new results on the stochastic dynamics of epidemic models. 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 can be used to govern the stochastic dynamics of SDE model. If <1, under mild extra conditions, the SDE system has a disease-free absorbing set which means the extinction of disease with probability one. If >1, under mild extra conditions, it has an endemic stationary distribution which leads to the stochasticpersistence 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.
This is a joint work with Dr. Yongli Cai.