Exact travelling wave solutions of three-species competition-diffusion systems
Journal
Discrete and Continuous Dynamical Systems - Series B
Journal Volume
17
Journal Issue
8
Pages
2653-2669
Date Issued
2012
Author(s)
Abstract
We consider the problem where $W$ invades the $(U,V)$ system in the three species Lotka-Volterra competition-diffusion model.Numerical simulation indicates that the presence of $W$ can dramatically change the competitive interaction between$U$ and $V$ in some parameter range if the invading $W$ is not too small.We also construct exact travelling wave solutions with non-trivial three components and trackthe bifurcation branches of these solutions by AUTO.
Type
conference paper