数学科学学院学术报告[2025] 140号

(高水平大学建设系列报告1241号)

报告题目：The influenza epidemic model with Fog-Haze pollution

报告人：宋海涛 教授（山西大学）

报告时间：2025年12月5日上午10:00-11:00

报告地点：深圳大学汇星楼514

内容摘要：The energy-intensive industrial economy results in frequent Fog-Haze weather which increases the risk of influenza spread and brings new challenges for the prevention and control of influenza. Firstly, we establish the Fog-Haze dynamics model. Then we prove the global existence and boundedness of the solution, and the global asymptotic stability of the solution is given by constructing a suitable Lyapunov functional. Secondly, to study the effect of Fog-Haze pollution on the influenza epidemic, we build the influenza epidemic model with Fog-Haze pollution. we explore the threshold dynamics of the system, concluding that if R0 < 1, the disease-free steady state of the system is globally asymptotically stable, while if R0 > 1, the system is persistent. Numerical simulation show that when the concentration of Fog-Haze is low, Fog-Haze contributes to the number of infectious individuals and Fog-Haze suppresses the transmission of the influenza virus when the concentration of Fog-Haze is high. Our study provides further understanding of the dynamics of Fog-Haze and the effect of Fog-haze pollution on the transmission of influenza. This is a joint work with Zhen Jin(Shanxi University), Pengfei Liu(Shanxi University), Lili Chang (Shanxi University) and Chunhua Shan (The University of Toledo).

报告人简历：宋海涛，山西大学教授，博士生导师，加拿大约克大学博士后，山西省高层次人才，三晋英才-青年拔尖人才，美国数学会《数学评论》评论员，中国数学会生物数学专业委员会青年工作委员会委员。主要从事生物数学、微分方程与动力系统等方面的研究，在SIAM J. Appl. Math., Nonlinear Dyn., Emerg. Infect. Dis.等国内外期刊发表论文20余篇，主持国家自然科学基金2项，参与国家自然科学基金重点项目1项,以第一完成人获得山西省科学技术奖（自然科学类）二等奖1项。

欢迎师生参加！

邀请人：袁沛

数学科学学院

2025年12月3日