In recombinant fermentations the plasmid loss probability per generation depends on the specific growth rate, which is related linearly to the dilution rate. A model with this feature and incomplete mixing has been studied analytically for stationary state behavior. While the kinetic parameters place upper limits on the dilution rate for a feasible stationary state in a well-mixed bioreactor, the feasible and nonfeasible regions for an incompletely mixed reactor are separated by either a straight line or a plane, whose position is determined by the mixing conditions.