报告题目：Analysis of SEIR Mean-Field Model in Dynamic Networks

报 告 人：靳祯 教授（山西大学）

负 责 人：王开发

报告时间：2025年12月13日（星期六）上午8:20－9:00

报告地点：数学大楼912报告厅

参加人员：教师、研究生、本科生

摘要：Non-pharmaceutical interventions such as isolation are crucial for controlling the spread. From the perspective of network transmission, non-pharmaceutical interventions like isolation alter the degree distribution and other topological structures of the network. In this talk, we establish a SEIR mean-field propagation dynamics model for the synchronous evolution of dynamic networks caused by propagation and tracing isolation. We employ the reducing-dimension method to convert the mean-field model in networks into an equivalent and simpler low-dimension model, and then calculate the exact expression of the final size. In addition, we get the differential equations of the degree distribution over time in dynamic networks under tracing isolation.

报告人简介：靳祯，山西大学二级教授，教育部新世纪优秀人才，三晋英才-杰出人才，享受国务院政府特殊津贴。现任教育部重点实验室主任，山西省数学会理事长。主要从事生物动力系统研究，先后主持国家级项目10 余项，其中国家基金重点项目2 项，重点研发和重点专项课题2项。曾获山西省科学技术奖一等奖2项，教育部高等学校优秀成果二等奖奖1项。