The effect of the iodine interphase transport originated from physical processes, such as pressure decrease, vigorous stirring, and/or an inert gas bubbling, on the dynamics of the oscillating Bray-Liebhafsky reaction is studied. Some new experiments were made at 60 degrees C that confirmed the possibility of suppressing oscillations by means of the iodine vapor removal from the reaction solution. It has been proved that the iodine vaporization is governed by the first-order kinetics with respect to the concentration of aqueous iodine, and a critical rate constant for iodine escape causing inhibition of the oscillatory mode was determined. The experiments were confronted with the models proposed by Kolar-Anic and Schmitz with co-workers. Both the models studied reflect the observed phenomenon. A simulation based on the latest model shows very good semiquantitative agreement with experiment, needing only a minor modification of the rate constants suggested by Kolar-Anic et al.