Qualitative analysis of the Oregonator model

Abstract

. In this paper, we consider the properties of the solutions for the Oregonator system, which is the mathematical model of the celebrated Belousov–Zhabotinski˘ı reaction. We first investigate the dynamics of the model, and some fundamental analytic properties such as attractive rectangle and stability of the constant solution are estab-lished. Then, we consider the steady states of the model, and the existence and nonexistence of nonconstant steady states under various conditions on the parameters and the size of the reactor.