TITLE:
Traveling Wavefronts on Reaction Diffusion Systems with Spatio-Temporal Delays
AUTHORS:
Xinli Han, Lijun Pan
KEYWORDS:
Schauder’s Fixed Point Theorem; Traveling Wave Fronts; Reaction-Diffusion; Spatio-Temporal Delays
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.9,
August
30,
2013
ABSTRACT:
By using Schauder’s Fixed Point Theorem, we study the existence of traveling wave fronts for reaction-diffusion systems with spatio-temporal delays. In our results, we reduce the existence of traveling wave fronts to the existence of an admissible pair of upper solution and lower solution which are much easier to construct in practice.