学术报告
报告题目：A new perspective on infection forces with demonstration by a DDE infectious disease model
报告人：邹幸福 (加拿大西安大略大学教授)
报告时间：2023年5月11日(星期四)晚上21:00-22:00
报告地点：腾讯会议（799-521-388）
报告人简介：
邹幸福教授分别在中山大学，湖南大学和加拿大York University获得学士，硕士和博士学位，并在加拿大University of Victoria和美国Georgia Institute of Technology从事过博士后研究工作。曾任教于加拿大Memorial University of Newfoundland，现为加拿大University of Western Ontario数学系教授。研究兴趣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、常泛函微分方程及偏泛函微分方程及其在生物领域的应用。
报告摘要
In this paper, 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 can not only 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.