Existence of traveling waves in a simple isothermal chemical system with the same order for autocatalysis and decay

研究成果: 雜誌貢獻文章

7 引文 斯高帕斯(Scopus)

摘要

The reaction-diffusion systems which are based on an isothermal autocatalytic chemical reaction involving both an autocatalytic step of the (m + 1)th order (A + mB → (m+1)B) and a decay step of the same order (B → C) have very rich and interesting dynamics. Previous studies in the literature indicate that traveling waves play a key role in understanding these interesting dynamical phenomena. However, there is a lack of rigorous proof of the existence of traveling waves to this system. Here we generalize this isothermal autocatalytic chemical reaction model and provide a rigorous proof of the existence of traveling waves for the resulting reaction-diffusion system which also includes the systems arising from epidemiology and the microbial growth in a flow reactor.

原文英語
頁(從 - 到)123-146
頁數24
期刊Quarterly of Applied Mathematics
69
發行號1
DOIs
出版狀態已發佈 - 2011

ASJC Scopus subject areas

  • Applied Mathematics

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