On the structural stability of a simple pooled chemical system

The effect of adding the uncatalysed reaction step to the cubic autocatalator in a closed system is examined under the pooled chemical approximation. The addition of this extra step has a dramatic effect on the overall reaction over the parameter range where, without this step, the pooled chemical approximation breaks down. It is found that, no matter how slow the uncatalysed reaction, the pooled chemical approximation now remains valid throughout. There is a parameter range where there is oscillatory behaviour, these oscillations arising from points of Hopf bifurcation.