Special Session 84: 

Spatial propagation for a parabolic system with multiple species competing for single resource

Zhiguo Wang
Shaanxi Normal University
Peoples Rep of China
Co-Author(s):    Hua Nie, Jianhua Wu
Abstract:
In this talk, we focus on a model of multi-species competing for a single growth-limiting resource. We aim to use the dynamics of such a problem to describe the invasion and spread of species which are introduced localized in space. The existence, uniqueness and uniform boundedness of the Cauchy problem are investigated. Our result shows that the asymptotic speed of spread for multi-species is characterized by the minimum wave speed of the positive traveling wave solutions associated with this system.