讲座内容简介:
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.
讲座人简介:
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.