The model, steady states and stability

Field and Noyes (1974a) invented a kinetic model, which they called the Oregonator , based on the five steps just mentioned  

In their scheme Z = 2[Ce ] and their stoichiometric parameter f 

Assume that reactions (M) proceed in a well-stirred solution at constant temperature and pressure. Furthermore, assume that the depletion of A (BrO ) can be neglected over times on the order of minutes (Noyes, 1976). Finally assume that the reactions are all irreversible, in which case the product, P, has no affect on the kinetics (Field, 1975). Then the time rate of change of the intermediates, X, Y and Z, is given by (see Chapter I, pp. 1 - 4 ) 

The rate equations are more manageable in dimensionless form. Let 

There are two other steady state solutions defined by 

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