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 a portmanteau of Brussels and oscillator. 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 a portmanteau of Brussels and oscillator.