报告题目：Spatial dynamics of vector-borne disease in advective heterogeneous environment

报告人：赵洪涌教授，南京航空航天大学

报告时间：2024年6月6日（周四）10:30-11:30

报告地点：20-306

报告摘要：In this talk, we formulate and analyze a reaction-diffusion-advection vector-borne disease model with spatial heterogeneity. We find the aggregation phenomenon of endemic equilibrium and classify possible dynamics for the model, including the asymptotic profiles and monotonicity of basic reproduction ratio R_0 with respect to the diffusion and advection rates of infected hosts and vectors. More importantly, we obtain some crucial and interesting phenomena by classifying the level set of R_0. Specifically, there exist unique critical surfaces to separate the dynamics, namely, the disease-free equilibrium is stable on one side of the surface and unstable on the other side. The resulting aggregation phenomenon shows that the infected individuals will aggregate in the downstream end if their advection rates are sufficiently large relative to dispersal. To the best of our knowledge, the conclusions of the paper complement the results of vector-borne disease in non-advective environments for the first time and provide new perspectives for the investigation and control of the disease.

报告人简介：赵洪涌，四川大学博士，南京大学博士后。现为南京航空航天大学二级教授，博士生导师，九三学社社员。长期从事生物系统动力学、传染病动力学分析与控制、时滞微分方程动力学等研究。江苏省高校“青蓝工程”优秀青年骨干教师和中青年学术带头人。2014年至2023年，连续十年入选爱思唯尔中国高被引学者榜单。主持国家自然科学基金面上项目四项。获省自然科学优秀论文二等奖一项、省教育科学研究成果二等奖一项。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、Studies in Applied Mathematics、Chaos、Discrete and Continuous Dynamical Systems-B、Journal of Mathematical Biology、Journal of Nonlinear Science、Information Sciences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理事，江苏省生物数学学会副理事长。