# American Institute of Mathematical Sciences

September  2013, 33(9): 4041-4069. doi: 10.3934/dcds.2013.33.4041

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

 1 Department of Mathematical Sciences, National Chengchi University, 64, S-2 Zhi-nan Road, Taipei 116 2 Department of Mathematics & AIM-HI, National Chung Cheng University, Chiayi, Taiwan

Received  July 2012 Revised  December 2012 Published  March 2013

We consider the reaction-diffusion system $u_t=\delta u_{xx}-2uv/(\beta+u)$, $v_t=v_{xx}+uv/(\beta+u)$, which is used to model the acidic nitrate-ferroin reaction. Here $\beta$ is a positive constant, $u$ and $v$ represent the concentrations of the ferroin and acidic nitrate respectively, and $\delta$ 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.
Citation: Sheng-Chen Fu, Je-Chiang Tsai. Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reaction. Discrete & Continuous Dynamical Systems - A, 2013, 33 (9) : 4041-4069. doi: 10.3934/dcds.2013.33.4041
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##### References:
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