時間：2024年07月24日（周三）😉🙆🏿，20:30-22:00
地點：#騰訊會議：759-517-0738；密碼🧑🏿💼：654321
報告人：宋海濤，山西大學復雜系統研究所👉，教授❄️🥃，博導
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.
個人簡介🏇🏿：宋海濤，山西大學復雜系統研究所，教授，博導，加拿大約克大學博士後，美國數學會《數學評論》評論員，中國數學會生物數學專業委員會青年工作委員會委員☝🏽🏄🏻♀️。主要研究領域為生物數學、微分方程和動力系統。本碩博就讀於哈爾濱工業大學，於2015年獲得數學博士學位，並於2016-2018年在加拿大約克大學做博士後研究。在微分方程相關領域發表學術論文20余篇🕤，主持或完成2項國家自然科學基金（面上項目和青年項目）和6項省部級項目🏊，參與國家自然科學基金重點項目1項🗽。以第一完成人獲得2023年山西省科學技術獎（自然科學獎）二等獎🤝，獲得山西省高等學校優秀青年學術帶頭人、三晉英才-青年優秀人才、山西大學青年五四獎章。
歡迎廣大師生參加！