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

报告人：汪翔升

报告时间：2023年3月17日（周五）8:20-10:20

报告地点：数学楼315会议室腾讯会议：377-204-083

申办单位：数学与统计学院

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.

报告人简介：

汪翔升，美国University of- Louisiana at Lafayette大学，教授，博士生导师，2009年获得香港城市大学博士学位；2009-2013年先后在香港城市大学，加拿大York大学、Memorial University of- Newfoundland大学从事博士后研究工作；主要研究渐近分析、微分动力系统、生物数学和计算数学。迄今为止已在Advancesin Mathematics、J. Math.Pures Appl.、SIAM J. Control and- Optimization、Studies in Applied Mathematics、JDE、JDDE、BMB、JTB等期刊上发表学术论文四十余篇。