一、题目：

The analysis of epidemic network model with individual behaviors on game theory

二、主讲人：

刘茂省

三、摘要：

Individual behaviors have a major impact on the spread of the disease during an epidemic. At the same time, the spread of disease has an impact on individual behaviors. In this talk, we propose a coupled model of individual behaviors and disease transmission, take into account both individual-based risk assessment and neighbor-based replicator dynamics. The results show that the change of human behavior can effectively inhibit the spread of the disease; individual-based risk assessments had a stronger effect on disease suppression, but also more hitchhikers. This work contributes to the study of the relationship between human behavior and disease epidemics. The results of optimal control are compared with other constant control and the influence of protective measures on infectious diseases are analyzed by simulations. The optimal control results indicate that the greater the control proportion of inflected individuals, the greater the average social payoff.

四、主讲人简介：

刘茂省，北京建筑大学，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，山西省“1331工程”重点创新团队负责人。负责主持国家自然科学基金3项，山西省自然科学基金2项，省留学基金2项，参加国家自然科学基金4项，其中重点项目1项。2007年获得山西省教学成果一等奖1项(第二完成人)，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(第五完成人)，2019年获得山西省科技奖自然类二等奖1项(第一完成人)。主要研究方向：传染病动力学、复杂网络传播动力学、大数据建模与仿真等理论及应用研究。

五、邀请人：

陈章

六、时间：

12月20日（周二）19:30-21:00

七、地点：

腾讯会议

八、联系人：

张亚辉，联系方式：yahzhang@mail.sdu.edu.cn

九、主办：

山东大学数学学院