Academic Report of School of Mathematical Sciences [2025] No. 140

(Series Report for High-Level University Construction No. 1241)

Title：The influenza epidemic model with Fog-Haze pollution

Speaker：Professor Haitao Song（Shanxi University）

Time：10:00-11:00, Dec.5, 2025

Location：Huixing Building 514, Shenzhen University

Abstract：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).

Speaker Profile：Haitao Song, Professor at Shanxi University and doctoral supervisor, completed postdoctoral research at York University in Canada. He is recognized as a Shanxi Province High-Level Talent and a Sanjin Elite - Young Top Talent. He serves as a reviewer for the American Mathematical Society's Mathematical Reviews and is a member of the Youth Working Committee of the Biomathematics Committee of the Chinese Mathematical Society. His research focuses on biomathematics, differential equations, and dynamical systems. He has published over 20 papers in international and domestic journals including SIAM J. Appl. Math., Nonlinear Dyn., and Emerg. Infect. Dis. He has led two National Natural Science Foundation of China (NSFC) projects and participated in one NSFC key project. As the primary contributor, he received the Second Prize of the Shanxi Provincial Science and Technology Award (Natural Science Category).

Faculty and students are welcome to attend!

Invited by: Pei Yuan

School of Mathematical Sciences

December 3, 2025