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Traveling waves for Integro-difference Equations with An Expanding or Contracting Habitat

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讲座题目:Traveling waves for Integro-difference Equations with An Expanding or Contracting Habitat
讲座人: 李秉团教授
讲座时间:15:00
讲座日期:2017-06-23
地点:长安校区文津楼数学与信息科学学院学术交流厅

讲座内容简介:

In this talk, we study an integro-difference equation model that describes the spatial dynamics of a species in an expanding or contracting habitat. We give conditions under which the species disperses to a region of poor quality where the species eventually becomes extinct. We show that when the species persists in the habitat, the rightward and leftward spreading speeds are determined by c, the speed at which the habitat quality increases or decreases in time, as well as c(∞), c(∞), c(), andc(), which are formulated in terms of the dispersal kernel and species growth rates in both directions.We demonstrate that in the case that the species grows everywherein space, the rightward spreading speed is c(∞) if c is relatively small and is c() if c is large, and the leftward spreading speed is one of c, c(), or c(). We also show that it is possible for a solution to form a two-layer wave, with the propagation speeds of the two layers analytically determined.

讲座人简介

李秉团,美国Louisville大学数学系教授,现任“Discrete and Continuous Dynamical Systems”杂志编委。长期从事微分方程、生物数学模型的研究工作。1998年于美国亚利桑那州立大学(Arizona State University)获应用数学博士学位。1999年至2001年分别在美国明尼苏达大学(University of Minnesota)、美国犹他大学(University of Utah)从事博士后研究工作。2001年至今在美国路易斯维尔大学(University of Louisville)数学系工作,并分别于2004年、2009年晋升为副教授、教授。已在“SIAM J. Appl. Math.”“J. Math. Biol.”“J. Differential Equations”“Nonlinearity”“Math. Biosci. Eng.”“Bull. Math. Biol.”“ J. Theoret. Biol. ”“Math. Biosci.”“Discrete Contin. Dyn. Syst.”“Can. Appl. Math. Q.”等国际知名期刊上发表学术论文50多篇。

 
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