# American Institute of Mathematical Sciences

2009, 2009(Special): 622-629. doi: 10.3934/proc.2009.2009.622

## Travelling fronts of reaction diffusion systems modeling auto-catalysis

 1 Department of Mathematics, University of Central Florida, Orlando, Fl 32816

Received  August 2008 Revised  May 2009 Published  September 2009

In this paper, we demonstrate new methods to prove existence of travelling front solutions and better estimates of minimum travelling speed to reaction diffusion systems modelling cubic Auto-Catalysis chemical reactions A + 2B $\rightarrow$ 3B involving two chemical species, a reactant A and an auto-catalyst B. Furthermore, we show the development of interface in the form of travelling fronts for quadratic Auto-Catalysis chemical reactions A + B $\rightarrow$ 2B when initial values are set up similar to an experiment involving Auto-Catalysis as a key step.
Citation: Yuanwei Qi. Travelling fronts of reaction diffusion systems modeling auto-catalysis. Conference Publications, 2009, 2009 (Special) : 622-629. doi: 10.3934/proc.2009.2009.622
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