应兰州大学数学与统计学院王智诚教授和张亮教授的邀请，路易斯安那大学拉斐特分校数学系汪翔升副教授将于2022年6月11日-13日访问兰州大学，期间6月13日举办线上专题学术报告。

报告题目：Threshold dynamics of a nonlocal and delayed cholera model in a spatially heterogeneous environment

报告摘要：A nonlocal and delayed cholera model with two transmission mechanisms in a spatially heterogeneous environment is derived. We introduce two basic reproduction numbers, one is for the bacterium in the environment and the other is for the cholera disease in the host population. If the basic reproduction number for the cholera bacterium in the environment is strictly less than one and the basic reproduction number of infection is no more than one, we prove globally asymptotically stability of the infection-free steady state. Otherwise, the infection will persist and there exists at least one endemic steady state. For the special homogeneous case, the endemic steady state is actually unique and globally asymptotically stable. Under some conditions, the basic reproduction number of infection is strictly decreasing with respect to the diffusion coefficients of cholera bacteria and infectious hosts. When these conditions are violated, numerical simulation suggests that spatial diffusion may not only spread the infection from high-risk region to low-risk region, but also increase the infection level in high-risk region.

时 间：6月13日上午8:40.

地 点：腾讯会议（ID：735 598 477）

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汪翔升副教授简介

汪翔升，路易斯安那大学拉菲特分校数学系副教授，毕业于香港城市大学和中国科学技术大学联合高等研究中心。曾任职于纽芬兰纪念大学和东南密苏里州立大学。主要从事计算数学、动力系统、数学生物学、正交多项式等方面的研究。他的研究兴趣包括渐近分析和生物数学等交叉学术领域，已在Adv. Math., J. Differential Equations, J. Math. Biol., J. Math. Pures. Appl., SIAM J. Control Optim.等国际知名数学期刊上发表学术论文四十余篇。

甘肃应用数学中心

甘肃省高校应用数学与复杂系统省级重点实验室

数学与统计学院

萃英学院

2022年6月9日