一、题目

周期性影响的网络传染病动力学模型分析

二、主讲人

刘茂省

三、摘要

Seasonal forcing and contact patterns are two key features of many disease dynamics that generate periodic patterns. In this talk, we develop and analyze a non-autonomous degree-based mean field network model within an SIS framework. We assume that the disease transmission rate being periodic to study synergistic impacts of the periodic transmission and the heterogeneity of the contact network on the infection threshold and dynamics for seasonal diseases. We demonstrate both analytically and numerically. Our results show that heterogeneity in the contact networks plays an important role in accelerating disease spreading and increasing the amplitude of the periodic steady state solution. These results confirm the need to address factors that create periodic patterns and contact patterns in seasonal disease when making policies to control an outbreak.

四、主讲人简介

刘茂省，中北大学教授，博士生导师，山西省数学会常务理事，山西省高校优秀青年学术带头人，山西省高校“131”领军人才，山西省“三晋英才”青年优秀人才，山西省“1331工程”重点创新团队负责人。发表高水平学术论文40余篇，出版专著2部。2007年获得山西省教学成果一等奖1项，2008年主讲的《常微分方程》被评为山西省精品课程，2010年获得山西省科技奖自然类一等奖1项，2011年获得转型跨越“山西青年五四奖章”。2018年负责的“传染病动力学与大数据团队”获得山西省“1331工程”重点创新团队。

五、邀请人

陈章 数学学院教授

六、时间

11月21日（周六）19:30-21:00

七、地点

腾讯会议，会议ID：573 523 599

八、主办方

山东大学数学学院