Traveling Waves in a Three Species Competition-cooperation System
Analysis of PDEs
2013-01-25 v1 Dynamical Systems
Abstract
This paper studies the traveling wave solutions to a three species competition cooperation system. The existence of the traveling waves is investigated via monotone iteration method. The upper and lower solutions come from either the waves of KPP equation or those of certain Lotka Volterra system. We also derive the asymptotics and uniqueness of the wave solutions. The results are then applied to a Lotka Volterra system with spatially averaged and temporally delayed competition.
Keywords
Cite
@article{arxiv.1301.5680,
title = {Traveling Waves in a Three Species Competition-cooperation System},
author = {Xiaojie Hou and Yi Li},
journal= {arXiv preprint arXiv:1301.5680},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:0908.2193