The Brusselator is a theoretical model for a type of autocatalytic reaction.
The Brusselator model was proposed by Ilya Prigogine and his collaborators at the Université Libre de Bruxelles.
It is characterized by the reactions Under conditions where A and B are in vast excess and can thus be modeled at constant concentration, the rate equations become where, for convenience, the rate constants have been set to 1.
Unlike the Lotka–Volterra equation, the oscillations of the Brusselator do not depend on the amount of reactant present initially.
Instead, after sufficient time, the oscillations approach a limit cycle.