Stationary-state behaviour for systems with catalyst decay

Stationary-state behaviour for systems with catalyst decay 

In the previous sections, the autocatalytic species B is only removed from the reactor by means of outflow or by conversion back to the original reactant A. We now consider the case where B can undergo an additional decay process, B - C, similar to that considered in the model of chapter 2. Returning to irreversible steps, the kinetic scheme becomes, for autocatalysis, 

We will now need to consider two mass-balance equations, one for A and one for B, so we now have a two-variable system. 

This decoupling of the concentrations of A and B may appear initially to be only a small modification, but it really has far-reaching effects. We will see below that even the stationary-state behaviour can be much more complex, and there is a much greater flexibility in the pattern of local stabilities the uppermost and lowest states are no longer always stable, nor are unique states, and oscillatory responses are now possible. 

The equations appropriate to this augmented scheme, equivalent to eqns (6.9) and (6.10) of the previous section, are 

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