Abstract

This paper deals with the stability of traveling wave fronts for Belousov-Zhabotinskii system with small delay. First, the precise spatial decay rates of traveling wave fronts with small delay are given. Then by using Theorem 4.1 of Chapter 5 in [22], each traveling front solution with wave speed $ c>2\sqrt{1-r} $ is proved to be nonlinearly exponentially stable in some appropriate exponentially weighted spaces.

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