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

Sheng-Chen FuJe-Chiang Tsai
Discrete and Continuous Dynamical Systems- Series A, 卷.33(9), 頁碼.4041-4069
09/2013

摘要

Acidic nitrateferroin reaction Reaction-diffusion system Stability Travelling wave Discrete Mathematics and Combinatorics Applied Mathematics Analysis
We consider the reaction-diffusion system ut = δu xx - 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.

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https://doi.org/10.3934/dcds.2013.33.4041檢視
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