報告題目：On the role of advection in a spatial epidemic model with general boundary conditions

報告人：趙洪湧教授

時間：2025年7月27日（星期日）14：30

地點：理學院512

報告人簡介：

赵洪涌,南京航空航天大学二级教授，博士生导师,九三学社社员.恒久从事生物系统动力学、熏染病动力学分析与控制、时滞微分方程动力学等研究.入选江苏省高校“青蓝工程”优秀青年主干教师和中青年学术带头人.2014年至2024年，连续十一年入选爱思唯尔中国高被引学者榜单.主持省和国家自然科学基金面上项目多项.获省自然科学优秀论文二等奖一项、省教育科學研究结果二等奖一项. 2016年入选南京航空航天大学年度人物.国家科技部重大项目和江苏省高校重大项目会评专家.在Journal of Differential Equations、Journal of Dynamics and Differential Equations、Journal of Mathematical Biology、Journal of Theoretical Biology、Bulletin of Mathematical Biology、Mathematical Biosciences、Journal of Nonlinear Science、Chaos等国际重要期刊上发表学术论文一百四十余篇，被SCI刊物引用三千余次.现为中国数学会生物数学专委会常务委员，江苏省生物数学学会副理事长,Journal of Applied Mathematics杂志编委.

報告摘要：

This talkis concerned with a reaction-diffusion-advection model for vector-borne disease with general boundary conditions and general incidences. Due to the boundary conditions, we apply the eigenvalue theory of elliptic system to prove the existence and uniqueness of steady state for the model. The well-posedness of the model is established using an induction argument. We originally derive the variational expression of the basic reproduction ratioR_0. The asymptotic profiles and monotonicity ofR_0 with respect to the mobility and advection rates are investigated following the variational characterization ofR_0. Furthermore, the spatial dynamics of the model with Robin type boundary condition are categorized via classifying the level set ofR_0. This work provides new clues for further research on the spread of epidemics in open advective environments