Ja. Leach et al., OSCILLATIONS AND WAVES IN THE BELOUSOV-ZHABOTINSKII REACTION IN A FINITE MEDIUM, Journal of mathematical chemistry, 16(1-2), 1994, pp. 115-124
Travelling reaction-diffusion waves are considered in a finite medium.
The model considered is a simplified model of the Belousov-Zhabotinsk
ii reaction, described mathematically by the two-variable Oregonator.
A one-dimensional problem consisting of three regions is considered. R
egions I (x less than or equal to 0) and III (x greater than or equal
to 1) act as reservoirs with fixed concentrations of the reactant X (t
he autocatalyst, hypobromous acid (HBrO2)), where the concentration of
X in regions I and III may be different. Region II represents a catal
yst-loaded membrane, within which species X can diffuse while species
Z (the oxidized form of the metal-ion catalyst (Ce(IV))) is fixed spat
ially. The large time behaviour of the system is considered and both s
table steady states and periodic spatio-temporal structures are seen.