Space-time dynamics of a vector-borne disease model with two-class boundary condition
报告人:赵洪涌
报告地点:数学与统计学院104教室
报告时间:2024年12月22日星期日08:30-09:30
邀请人:范猛
报告摘要:
In this talk, we formulate and analyze a reaction-diffusion-advection vector-borne disease model with two-class boundary condition. Under no-flux boundary condition, 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. Moreover, under the Dirichlet type boundary condition, the asymptotic profiles of R_0 in respect of diffusion rates and advection rates are investigated by employing the variational formula. Finally, we discuss the dynamical differences under different boundary conditions.
主讲人简介:
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.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JDE、JDDE、JMB、JTB、BMB、 MB、JNS、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理事,江苏省生物数学学会副理事长.