Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reaction

Sheng Chen Fu, Je-Chiang Tsai

Research output: Contribution to journalArticle

Abstract

We consider the reaction-diffusion system ut = δuxx - 2uv/(β+u), vt = vxx +uv /(β+u), which is used to model the acidic nitrate-ferroin reaction. Here β is a positive constant, u and v represent the concentrations of the ferroin and acidic nitrate respectively, and δ denotes the ratio of the diffusion rates. The existence of travelling waves for this system is known. Using energy functionals, we provide a stability analysis of travelling waves.

Original languageEnglish
Pages (from-to)4041-4069
Number of pages29
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume33
Issue number9
DOIs
Publication statusPublished - 2013 Sep 1

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Keywords

  • Acidic nitrateferroin reaction
  • Reaction-diffusion system
  • Stability
  • Travelling wave

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

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