Global Stability of Non-critical Traveling Fronts for a Belousov-Zhaboti nskii Model with Time Delay
Year: 2024
Type: article
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.
Source: Contemporary Mathematics
Authors: Guang-Sheng Chen, Jie-Kun Li, Hai-Miao Meng, Chun-Hong Li, Meng Lv
Institution: Guangxi Science & Technology Normal University
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402075012