Dynamical Systems on Networks and their Applications:Perspectives from Population Dynamics
报 告 人:: 帅智圣
报告地点:: 数学与统计学院617室
报告时间:: 2019年06月12日星期三10:00-11:00

Many large-scale dynamical systems arising from different fields of science and engineering can be regarded as coupled systems on networks. Examples include biological and artificial neural networks, nonlinear oscillators on lattices, complex ecosystems and the transmission models of infectious diseases in heterogeneous populations. Of particular interest is to investigate in what degree and fashion the dynamical behaviors are determined by the architecture of the network encoded in the directed graph. We will address this from population dynamics perspectives. Specifically, many recent outbreaks and spatial spread of infectious diseases have been influenced by human movement over air, sea and land transport networks, and/or anthropogenic-induced pathogen/vector movement. These spatial movements in heterogeneous environments and networks are often asymmetric (biased). The effects of asymmetric movement versus symmetric movement will be investigated using several epidemiological models from the literature, and the analytical tools employed are from differential equations, dynamical systems to matrix theory and graph theory. These investigations provide new biological insights on disease transmission and control, and also highlight the need of a better understanding of dynamical systems on networks.

发 布 人:吴双 发布时间: 2019-06-06
帅智圣,分别于2001年和2004年在东北师范大学获数学学士学位和应用数学硕士学位,并于2010年在加拿大阿尔伯塔大学获理学博士学位,后获加拿大自然科学与工程研究委员会颁发的博士后奖(NSERC Postdoctoral Fellowship)资助,在维多利亚大学从事两年博士后研究。从2012年8月起,任教于美国中佛罗里达大学,现为该校数学系副教授(tenured)。主要研究兴趣为微分方程、动力系统、及其在生物数学中的应用。已在包括 Journal of Differential Equations, Journal of Mathematical Biology, Proceedings of the American Mathematical Society, SIAM Journal on Applied Mathematics等国际著名刊物发表论文30余篇。其成果被同行广泛引用,论文累计已被引用1700余次。获多项学术、科研和教学奖励,其中包括国家优秀自费留学生奖学金(中国),Izaak Walton Killam纪念奖学金(加拿大),中佛罗里达大学教学创新(TIP)奖。主持多项科研项目,其中包括美国国家科学基金委(NSF)和Simons Foundation科研项目。