A theoretical analysis is given of the dynamic consequences of reactor inhomogeneity arising from the incomplete mixing of a single premixed feedstream into a CSTR, in nonlinear reactive systems with a single dynamical variable. The coalescence-redispersion (CR) model is used to describe the interaction of feeding, mixing, and chemical reaction, and the corresponding Langevin equation is derived in which the fluctuating term due to feeding and mixing is a multiplicative colored noise process. From the stationary solution of the corresponding Fokker-Planck equation, we obtain an analytical expression for the stochastic steady states, using the white-noise approximation, This leads to an expression for the degree of reactor inhomogeneity (defined as the variance of concentration in a single representative volume element) as a function of flow rate, stirring rate, and the difference between the inflow and bulk concentrations. Finally, we derive a linear scaling law that relates the shift of the stochastic steady state from its deterministic limit: to the reactor inhomogeneity. Analysis of the numerical and experimental results for the arsenous acid-iodate reaction obtained in part 1 of this series [preceding paper] confirms the appropriateness of this approach and validates the CR model for describing the stirring effects in one-variable nonlinear reactions.