Global stability of traveling fronts of a diffusion system with the Belousov-Zhabotinskii reaction

Abstract

This paper studied the asymptotic stability of traveling fronts of the Belousov-Zhabotinskii (BZ for short) system. Under the condition that the initial perturbation decays as $ |x|\rightarrow \infty $, we came to the conclusion that the traveling fronts were globally exponentially stable. The main method was the super and sub-solutions combined with a squeezing technique.

Keywords

• global stability
• belousov-zhabotinskii
• traveling fronts
• super and sub solutions
• squeezing technique