讲座内容简介: We discuss long term behavior of solutions of integro-difference equations in a dynamic habitat. We present results on spreading speeds and traveling waves for scalar equations with an expanding or contracting habitat, and demonstrate how they are determined by growth and dispersal conditions in the equations. Our mathematical analysis involves the development of spatial waves on moving finite and infinite intervals. The framework is extended to study a system of two equations that describe consecutive invasions of two competing species into a habitat. We find that in general there are multiple invasion speeds in the system. It is possible for a species to develop two separate waves propagating with different invasion speeds. It is also possible for each species to establish a single wave spreading with distinct speeds in both directions.
讲座人简介：李秉团，博士、教授、博士生导师，现任“Discrete and Continuous Dynamical Systems” 编委。长期从事微分方程、生物数学模型的研究工作。1998 年于 Arizona State University 获应用数学博士学位。1999 年至 2001 年分别在 University of Minnesota、University of Utah 从事博士后研究工作。2001 年至今在 University of Louisville 数学系工作。已在“SIAM J. Appl. Math.” “J. Differential Equations” “J. Math.Biol.” “Nonlinearity” “Math. Biosci. Eng.”“Bull. Math. Biol.”“Math.Biosci.” 等 SCI 期刊上发表论文 50 余篇。