学术申报—Dynamical Systems on Networks and their Applications: Perspectives from Population Dynamics-太阳城app下载

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学术申报—Dynamical Systems on Networks and their Applications: Perspectives from Population Dynamics

>2019-06-28   审核人:

报 告 人:帅智圣

主 持 人:张晓颖

时    间:2019年06月28日10:00

地    点:理学院五楼大数据试验室

主理单位:理学院


申报人简介:

帅智圣,分离于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,后获加拿大自然迷信与工程研究委员会发表的博士后奖(NSERC Postdoctoral Fellowship)帮助,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,现为该校数学系副传授(tenured)。重要研究兴趣为微分方程、能源体系、及其在生物数学中的应用。已在包含Journal of Differential Equations, Journal of Mathematical Biology, Proceedings of the American Mathematical Society, SIAM Journal on Applied Mathematics等国内驰名刊物发表论文30余篇。其效果被同业普遍引用,论文累计已被引用1700余次。获多项学术、科研和教学嘉奖,此中包含国度优越自费留门生奖学金(中国),Izaak Walton Killam纪念奖学金(加拿大),中佛罗里达大学教学立异(TIP)奖。掌管多项科研项目,此中包含美国国度迷信基金委(NSF)和Simons Foundation科研项目。

概念综述:

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.

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