报告题目：A new perspective on infection forces with demonstration by a DDE infectious disease model

报告时间：2023年11月1日(星期三)上午10:00—11:30

报告地点：数理楼135报告厅

报告人：邹幸福 教授 (University of Western Ontario)

报告摘要：In this talk, we will revisit the notion of infection force from a new angle which can offer a new perspective to motivate and justify some infection force functions. Our approach not only can explain many existing infection force functions in the literature, it can also motivate new forms of infection force functions, particularly infection forces depending on disease surveillance of the past. As a demonstration, we propose an SIRS model with delay. We comprehensively investigate the disease dynamics represented by this model, particularly focusing on the local bifurcation caused by the delay and another parameter that reflects the weight of the past epidemics in the infection force. We confirm Hopf bifurcations both theoretically and numerically. The results show that depending on how recent the disease surveillance data are, their assigned weight may have a different impact on disease control measures.

报告人简介：邹幸福教授，加拿大西安大略大学（University of Western Ontario）自然科学院应用数学系终身教授，博士生导师。2012年入选湖南省“百人计划”专家并在中南大学担任特聘教授。研究方向为微分方程和动力系统的理论及应用，特别是反应扩散方程、泛函微分方程及其在生物领域的应用。目前已经发表相关学术论文140余篇，其中在多个高水平期刊SIAM J. Math. Anal.、SIAM J. Appl. Math.、Can. Appl. Math. Q.、J. Nonlinear Sci.、Nonlinearity、J. Diff. Eqns.等多次发表学术论文；担任Journal of Mathematical Biology、Applicable Analysis、Journal of Computational and Applied Mathematics等SCI收录杂志的编委，曾获加拿大国家自然科学和工程基金博士后奖，Petro-Canada青年研究创新奖，安大略省长杰出研究奖。