?報(bào)告人：趙洪涌 教授
報(bào)告題目：Dynamics of a reaction-diffusion-advection model with spatial heterogeneity
報(bào)告時(shí)間：2026年5月18日（周一）下午3：00
報(bào)告地點(diǎn)：騰訊會(huì)議：717482132
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院
報(bào)告人簡(jiǎn)介：
趙洪涌，南京航空航天大學(xué)二級(jí)教授，博士生導(dǎo)師，九三學(xué)社社員。現(xiàn)為中國(guó)數(shù)學(xué)會(huì)生物數(shù)學(xué)專(zhuān)委會(huì)常務(wù)委員。長(zhǎng)期從事生物系統(tǒng)動(dòng)力學(xué)、傳染病動(dòng)力學(xué)分析與控制、時(shí)滯微分方程動(dòng)力學(xué)等研究。入選江蘇省高校“青藍(lán)工程”優(yōu)秀青年骨干教師和中青年學(xué)術(shù)帶頭人。2014年至2025年，連續(xù)十二年入選愛(ài)思唯爾中國(guó)高被引學(xué)者榜單。主持省和國(guó)家自然科學(xué)基金面上項(xiàng)目多項(xiàng)。獲省自然科學(xué)優(yōu)秀論文二等獎(jiǎng)一項(xiàng)、省教育科學(xué)研究成果二等獎(jiǎng)一項(xiàng)。2016年入選南京航空航天大學(xué)年度人物。國(guó)家科技部重大項(xiàng)目和江蘇省高校重大項(xiàng)目會(huì)評(píng)專(zhuān)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等國(guó)際重要期刊上發(fā)表學(xué)術(shù)論文一百四十余篇，被SCI刊物引用三千余次。
報(bào)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.