學術動態

  •  學術動態 

學術報告—Dynamical Systems on Networks and their Applications: Perspectives from Population Dynamics

2019-06-12   審核人:

報 告 人:帥智圣

主 持 人:張曉穎

時    間:2019年6月14日10:00

地    點:理學院五樓大數據實驗室

主辦單位:理學院


報告人簡介:

帥智圣,分別于2001年和2004年在東北師范大學獲數學學士學位和應用數學碩士學位,并于2010年在加拿大阿爾伯塔大學獲理學博士學位,后獲加拿大自然科學與工程研究委員會頒發的博士后獎(NSERC Postdoctoral Fellowship)資助,在維多利亞大學從事兩年博士后研究。從2012年8月起,任教于美國中佛羅里達大學,現為該校數學系副教授(tenured)。主要研究興趣為微分方程、動力系統、及其在生物數學中的應用。已在包括Journal of Differential Equations, Journal of Mathematical Biology, Proceedings of the American Mathematical Society, SIAM Journal on Applied Mathematics等國際著名刊物發表論文30余篇。其成果被同行廣泛引用,論文累計已被引用1700余次。獲多項學術、科研和教學獎勵,其中包括國家優秀自費留學生獎學金(中國),Izaak Walton Killam紀念獎學金(加拿大),中佛羅里達大學教學創新(TIP)獎。主持多項科研項目,其中包括美國國家科學基金委(NSF)和Simons Foundation科研項目。

觀點綜述:

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.

關閉窗口
2014年25选7彩池多少