中科院数学与系统科学研究院

数学研究所

学术报告会

报告人：Prof. Yuan Lou(Ohio State University, USA and Remin University of China)

题  目：Evolution of diffusion in a mutation-selection model

时  间：2016.11.08（星期二），16:00-17:00

地  点：南楼N820室

Abstract:

We consider an  integro-PDE model for a population structured by the spatial variables and a trait variable which is the diffusion rate. Competition for resource is local in spatial variables, but nonlocal in the trait variable.  We show that in the limit of small mutation rate, the solution concentrates in the trait variable and forms a Dirac mass supported at the lowest diffusion rate. Hastings and Dockery et al. showed that for two competing species, the slower diffuser always prevails, if all other things are held equal. Our result suggests that their findings may well hold for a continuum of traits.  This talk is based on joint work with King-Yeung Lam.