报告摘要: We are concerned with several reaction-diffusion SIS epidemic models in advective heterogeneous environments, and investigate the combined effect of spatial heterogeneity and individual dispersal on dynamics of infected diseases. Threshold-type results on the global dynamics in terms of the basic reproduction number are established. We further investigate the effects of diffusion, advection and mechanism on asymptotic profiles of the endemic equilibrium. The individuals concentrate at the downstream end when the advection rate tends to infinity. As the diffusion rate of the infected individuals tends to zero, the density of the infected may vanish on the habitat. The results may provide some implications on disease control and prediction.

报告时间：2023年8月20日（周日）上午9:00-10:00

报告地点：数学系报告厅主楼203

报告人简介：

崔仁浩，哈尔滨师范大学，教授，博士生导师；现为黑龙江省数学会常务理事，黑龙江省工业与应用数学会理事，国家自然科学基金数理学部通讯评议专家，《Mathematical Reviews》（美国数学评论）评论员。主要研究方向为非线性泛函分析与偏微分方程，在J. Differential Equations, Calc. Var. Partial Differential Equations等学术刊物上发表论文多篇；主持国家自然科学基金面上项目、全国博士后基金及黑龙江省自然科学基金等项目；作为主要完成人获得黑龙江省科学技术（自然科学）二等奖两项；2018年获黑龙江省数学会优秀青年学术奖。