報(bào)告承辦單位:數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告題目: Basic Reproduction Ratios for Periodic Compartmental Models with Time Delay（時(shí)滯周期倉(cāng)室模型的基本再生數(shù)）
報(bào)告人姓名:Xiaoqiang Zhao （趙曉強(qiáng)）
報(bào)告人所在單位:Department of Mathematics and Statistics，Memorial University of Newfoundland, Canada （加拿大紐芬蘭紀(jì)念大學(xué)數(shù)學(xué)與統(tǒng)計(jì)系）
報(bào)告人職稱: 教授，博士生導(dǎo)師
報(bào)告時(shí)間:2021年5月18日（星期二）晚上19:30-20:30
騰訊會(huì)議號(hào)碼:280 556 551
報(bào)告人簡(jiǎn)介：趙曉強(qiáng)，加拿大紐芬蘭紀(jì)念大學(xué)數(shù)學(xué)與統(tǒng)計(jì)系教授，該校University Research Professorship榮譽(yù)獲得者。趙教授先后于1983年和1986年在西北大學(xué)數(shù)學(xué)系獲學(xué)士和碩士學(xué)位，1990年在中國(guó)科學(xué)院應(yīng)用數(shù)學(xué)研究所獲博士學(xué)位。趙教授長(zhǎng)期從事動(dòng)力系統(tǒng)、微分方程和生物數(shù)學(xué)相關(guān)領(lǐng)域的研究，在單調(diào)動(dòng)力學(xué)、一致持久性、行波解和漸近傳播速度、基本再生數(shù)的理論及應(yīng)用等方面的系列工作受到同行的廣泛關(guān)注和引用。迄今為止，他已在“Comm. Pure Appl. Math.、 J. Eur. Math. Soc.、 J. reine angew. Math.、J. Math. Pures Appl.、Trans. Amer. Math. Soc.、SIAM J. Math. Anal.”等國(guó)際知名期刊上發(fā)表論文100余篇，并在Springer出版專著“Dynamical Systems in Population Biology”。
趙教授個(gè)人主頁(yè)：https://www.math.mun.ca/~zhao/
報(bào)告摘要：In this talk, I will report our recent research on basic reproduction ratio R0 for time-delayed compartmental population models in a periodic environment. It is proved that R0 serves as a threshold value for the stability of the zero solution of the associated periodic linear systems. An extension of such a theory to spatial population models and a general algorithm for the numerical computation of R0 will be discussed. As an application, we propose a Malaria transmission model with temperature -dependent incubation period, and then establish a threshold type result on its global dynamics in terms of R0. We also do a case study of the Malaria transmission in Maputo Province, Mozambique.
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