主講人：鄒幸福 加拿大西安大略大學(xué)應(yīng)用數(shù)學(xué)系教授

時(shí)間：2022年5月29日9：00

地點(diǎn)：騰訊會(huì)議 478 127 447

舉辦單位：數(shù)理學(xué)院

主講人介紹：鄒幸福，加拿大西安大略大學(xué)應(yīng)用數(shù)學(xué)系教授。分別在中山大學(xué)，湖南大學(xué)和加拿大York University獲得學(xué)士，碩士和博士學(xué)位，并在加拿大University of Victoria, 和美國(guó)Georgia Institute of Technology 從事過(guò)博士后研究工作。曾任教于加拿大Memorial University of Newfoundland。研究興趣為微分方程和動(dòng)力系統(tǒng)的理論及應(yīng)用，特別是反應(yīng)擴(kuò)散方程、常泛函微分方程及偏泛函微分方程及其在生物領(lǐng)域的應(yīng)用方面取得了一系列有影響力的成果，在J. Diff. Eqns.，SIAM J. Appl. Math.，SIAM J. Math. Anal.等權(quán)威雜志發(fā)表研究論文100多篇，引用1700多次，最高單篇引用次數(shù)400多次。曾獲加拿大國(guó)家自然科學(xué)和工程基金博士后獎(jiǎng)，Petro-Canada青年研究創(chuàng)新獎(jiǎng)，安大略省長(zhǎng)杰出研究獎(jiǎng)，UWO杰出研究教授獎(jiǎng)等。主持完成了加拿大國(guó)家自然科學(xué)和工程基金個(gè)人項(xiàng)目、安達(dá)略自然資源部基金、加拿大MITACS PDF基金、加拿大全國(guó)性基金MITACS等。

內(nèi)容介紹：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.