PDE Seminar: Du -- Long-time dynamics of two invading competitors

PDE Seminar: 
2:00pm Tuesday 5th December 
Quad S225 

Talk 2.  at 2pm 

Speaker: Yihong Du (Professor @ University of New England, Australia) 

Title: Long-time dynamics of two invading competitors 

Abstract: In this talk I will discuss the eventual outcomes of two invading competitors
based on a two species diffusive competition model with free boundaries.  We are
interested in a complete understanding of all the possible invading profiles of the
system in the weak-strong competition case, where a strong competitor and a weak
competitor invade the spatial environment simultaneously.  We show that there are
exactly  five different types of invading profiles for this system.  

This talk is based on theoretical work with Chang-Hong Wu (Taiwan), and numerical work
with K.  Khan (Australia/Bangladesh), Shuang Liu (USA) and T.  Schaerf (Australia).