Traveling waves of two-component reaction-diffusion systems arising from higher order autocatalytic models

Jong Shenq Guo*, Je Chiang Tsai

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

9 引文 斯高帕斯(Scopus)

摘要

We study the existence and uniqueness of traveling wave solutions for a class of two-component reaction-diffusion systems with one species being immobile. Such a system has a variety of applications in epidemiology, bio-reactor models, and isothermal autocatalytic chemical reaction systems. Our result not only generalizes earlier results of Ai and Huang (Proceedings of the Royal Society of Edinburgh 2005; 135A:663-675), but also establishes the existence and uniqueness of traveling wave solutions to the reactiondiffusion system for an isothermal autocatalytic chemical reaction of any order in which the autocatalyst is assumed to decay to the inert product at a rate of the same order.

原文英語
頁(從 - 到)559-578
頁數20
期刊Quarterly of Applied Mathematics
67
發行號3
DOIs
出版狀態已發佈 - 2009

ASJC Scopus subject areas

  • 應用數學

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