Title:  Spatial dynamics for three classes of evolution systems in population biology

Speaker: Shiheng Fan, Memorial University

Abstract:  Understanding the spatial dynamics of populations has long been a central research theme in mathematical  biology and epidemiology, with particular emphasis on the spread and persistence of species. In this seminar talk, I will report my thesis research projects on three classes of evolutionary systems arising in population biology. To study the population  dynamics in time-varying domains with impulsive birth effects, we first consider a hybrid population model combining continuous and discrete-time processes in an asymptotically periodic domain.  Then we examine the long-term behavior of competing species in time-varying domains by analyzing a two-species competition reaction-diffusion model subject to homogeneous Dirichlet and Neumann boundary conditions on three different modes of evolving domains. To better understand the spatial dynamics of competitive systems with spatial heterogeneity, we further investigate bistable traveling waves arising from the spread of two competing species in a Lotka-Volterra competition system on a periodic discrete habitat.

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Location: HH3017

Date and Time: Thursday, Feb. 5 at 01:00 PM - 01:50 PM (NST)

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