报告题目：On a diffusive SEIS epidemic model with standard incidence

报告人：李慧聪副教授，中山大学

报告时间：2025年1月8日（周三）10:00-11:00

报告地点：20-200

报告摘要：We study a diffusive SEIS (susceptible-exposed-infected-susceptible) epidemic model. It is proved that the unique DFE is globally asymptotically stable when the basic reproduction number is less than or equal to one, while the disease persists uniformly otherwise; global stability of the endemic equilibrium is established in some special situation. We further investigate the asymptotic profiles of endemic equilibria as the diffusion rate shrinks. Our mathematical results indicate that the inclusion of the exposed class makes the infectious disease more difficult to control. A corresponding model with cross-diffusion (which means that susceptible individuals tend to move away from higher density of infected population) will also be discussed.

报告人简介：李慧聪，本科毕业于安徽大学，硕士毕业于东南大学，博士毕业于美国杜兰大学，曾在华东师范大学做博士后，现为中山大学数学学院副教授。主要研究方向为偏微分方程中的反应扩散方程理论及其应用、生物数学。多篇论文发表在SIAP、JMB、CVPDE、JDE、JDDE等期刊上。主持国家自然科学基金面上项目、青年项目，参与科技部国家重点研发计划。

邀请人：非线性分析与PDE团队