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Traveling Wavefronts on Reaction Diffusion Systems with Spatio-Temporal Delays
College of Science, Nanjing University of Posts and Telecommunications, Nanjing, China
Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China
- 1 College of Science, Nanjing University of Posts and Telecommunications, Nanjing, China
- 2 Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China
Applied Mathematics·Volume 04 (2013)·Pages 1278–1286·Published 30 August 2013·DOI10.4236/am.2013.49172
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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.
KeywordsSchauder’s Fixed Point TheoremTraveling Wave FrontsReaction-DiffusionSpatio-Temporal Delays
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