报告题目：Laplacian-Coupled Complex Systems on Varying Networks with Applications to Spatial Population Dynamics

报告时间：2020年12月13日（周日）上午9:00至10:00 （北京时间）

腾讯会议室：558681638;   密码：1213

报告人：Prof. Zhisheng Shuai, University of Central Florida, USA

报告摘要：

Large-scale complex systems in science and engineering can often be regarded as coupled systems of small-scale differential equations on networks. A network can be mathematically treated as a weighted, directed graph. Specifically, within-vertex dynamics can be described by a small-scale system of differential equations, and directed arcs of the network represent the coupling among vertex systems. In metapopulation dynamics, the coupling can be depicted as Laplacian of movement network. Algebraic and combinatorial theories of Laplacian provide new and effective approaches to investigate spatial population dynamics. Our recent results on spectral monotonicity of Laplacian-perturbed matrices, along with new mathematical measures for network heterogeneity, have been applied to various ecological and epidemiological models: establish the dichotomy of population persistence and extinction, and prove the monotonicity of threshold values with respect to the coupling strength (e.g. the movement speed).

报告人简介：

    帅智圣博士现为美国中佛罗里达大学终身副教授。帅教授分别于2001年和2004年在东北师范大学获学士和硕士学位(导师:王克教授)，2010年在加拿大Alberta大学数学系获博士学位(导师:Prof. Michael Li)。此后，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)在加拿大维多利亚大学从事博士后研究两年。帅智圣教授主要从事微分方程和动力系统、及其在生物数学中的应用，在Journal of Differential Equations，Journal of Mathematical Biology，Linear Algebra and its Applications，Proceedings for the American Mathematical Society，SIAM Journal on Applied Mathematics等国际著名刊物发表论文30余篇。研究成果被国际同行广泛引用，总引用2200余次。曾获学术、科研和教学奖励多项，其中包括国家优秀自费留学生奖学金(中国)，Killam纪念奖学金(加拿大)，中佛罗里达大学教学创新(TIP)奖等。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。