Systems with no autocatalyst inflow

We will proceed with the flow diagram analysis in a moment. First, however, we note that with fi0 = 0, the stationary-state condition (6,51) becomes significantly simpler  

The term 1 — ass appears directly in both L and R. Thus one solution of this equation is simply 

Other stationary-state solutions must then satisfy the reduced equation 

In terms of the extent of conversion, this quadratic has the roots 

The ends of the isola are easily located. They correspond to residence times at which the upper and lower roots of (6.58) become equal, and hence to values of tres for which the discriminant becomes zero. Thus, we require 

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