Abstract
Front propagation is studied in several reaction–diffusion models based on the Oregonator model of the Belousov–Zhabotinsky reaction. Each system involves autocatalysis (X→2X), (X→2X), termination (2X→0) (2X→0) and consumption of the autocatalyst (X→0,X+Y→0), (X→0, X+Y→0), augmented with interconversion (X↔R)(X↔R) between the autocatalyst X and a rapidly diffusing unreactive species R. We investigate the dependence of the front velocity on the diffusion coefficients of X and R, the interconversion rates, and the other kinetic parameters, when the system possesses either one or two stable steady states.