Bifurcation analysis of the Oregonator model

This paper deals with the Oregonator model which describes the Field–Körös–Noyes mechanics of Belousov–Zhabotinskiiˇ reaction. We find a critical value λ¯ of the diffusion coefficient λλ and showed that the unique constant solution is asymptotically stable if λ>λ¯ and the occurrence of Turing instability if λ<λ¯. Furthermore, we prove existence of nonconstant steady state solutions for a.e. λ∈(0,λ¯) by bifurcation method.