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Research Article | Open Access

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

School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou, Jiangsu 221018, China
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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|→∞, 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 stabilityBelousov-Zhabotinskiitraveling frontssuper and sub solutionssqueezing technique
CLC number: 35K40, 35K57, 35C07

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 25261-25283
DOI: 10.3934/math.20241233

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Cite this article:
Niu H-T. Global stability of traveling fronts of a diffusion system with the Belousov-Zhabotinskii reaction. AIMS Mathematics, 2024, 9(9): 25261-25283. https://doi.org/10.3934/math.20241233

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Received: 30 July 2024
Revised: 21 August 2024
Accepted: 23 August 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)