Global Stability of Non-critical Traveling Fronts for a Belousov-Zhaboti nskii Model with Time Delay

Authors

  • Guang-Sheng Chen College of Mathematics and Computer Science, Guangxi Science and Technology Normal University, Laibin, Guangxi, 546199, China https://orcid.org/0000-0002-2468-4190 (unauthenticated)
  • Jie-Kun Li College of Mathematics and Computer Science, Guangxi Science and Technology Normal University, Laibin, Guangxi, 546199, China
  • Hai-Miao Meng College of Mathematics and Computer Science, Guangxi Science and Technology Normal University, Laibin, Guangxi, 546199, China
  • Chun-Hong Li College of Mathematics and Computer Science, Guangxi Science and Technology Normal University, Laibin, Guangxi, 546199, China
  • Meng Lv College of Mathematics and Computer Science, Guangxi Science and Technology Normal University, Laibin, Guangxi, 546199, China

DOI:

https://doi.org/10.37256/cm.5320242760

Keywords:

Belousov-Zhabotinskii model, traveling fronts, exponential stability

Abstract

This paper is concerned with the traveling fronts of a Belousov-Zhabotinskii system with a time delay. The stability of the traveling fronts with large speeds is proved by Meng et al. [1]. However, the stability of all waves, including the slower waves (i.e., the wave speed near the critical wave speed), for such a system is unsolved. In this paper, we show that all traveling fronts with non-critical wave speeds are exponentially asymptotically stable. The exponential convergent rate is also obtained.

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Published

2024-08-29

Issue

Contemporary Mathematics, Volume 5 Issue 3 (2024), 2593-4131

Section

Research Article

License

Copyright (c) 2024 Guang-Sheng Chen, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Global Stability of Non-critical Traveling Fronts for a Belousov-Zhaboti nskii Model with Time Delay. Contemp. Math. [Internet]. 2024 Aug. 29 [cited 2025 Dec. 24];5(3):3587-600. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/2760