报告题目：The spatial and temporal effects of Fog-Haze pollution on the influenza transmission

主讲人：宋海涛

单位：山西大学

时间：7月8日9:30

地点：学院二楼会议室

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. Therefore, the study of spread mechanics and controlling strategies of influenza based on Fog-Haze will be scientifically meaningful. Considering 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, 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. Under the Fog-Haze weather, we study the influenza virus transmission model that incorporates the incidence rate to reflect the Fog-Haze-dependent saturation effect and investigate the effect of Fog-Haze pollution on the transmission of influenza. We show that the basic reproduction number R0 determines the global dynamics of the system: if R0 < 1, the disease-free equilibrium is global asymptotically stable; the unique endemic equilibrium is global asymptotically stable if R0 > 1. Simulations are carried out to validate the theoretical results. Our study provides further understanding of the dynamics of Fog-Haze and the effect of Fog-haze pollution on the transmission of influenza.

简介：宋海涛，山西大学复杂系统研究所，副教授，博士生导师，加拿大约克大学博士后，美国数学会《数学评论》(Mathematical Reviews)评论员。主要研究领域为生物数学、传染病模型、时滞微分方程的稳定性和分支。本硕博就读于哈尔滨工业大学，于2014年获得数学博士学位，于2016-2018年在加拿大约克大学做博士后研究（合作导师是朱怀平教授）,并于2022年8月-2023年7月在天津工业大学做访问学者。主持2项国家自然科学基金面上项目1项和青年项目1项，主持省部级项目5项，参与国家自然科学基金重点项目1项，在微分方程相关领域发表学术论文20余篇。获得山西省高等学校优秀青年学术带头人、三晋英才-青年优秀人才、山西大学五四青年奖章。