The dynamic effects of physisorption-diffusion of ethene and propene over alumina, silica gel, and zeolite adsorbents, and the additional effects of propene metathesis reaction over rhenium oxide catalyst on gamma-alumina support, were characterized in a Berty reactor. Mathematical models describing sorption-diffusion-reaction in propene metathesis were simplified and solved analytically by applying Laplace transform and Cauchy residue theorem. The experimental results obtained from both periodic and nonperiodic inputs to reactor inlet concentration were compared with model solutions. The models were used to study the sensitivity characteristics of the system parameters. The specific advantages and disadvantages of both periodic and nonperiodic inputs for the Berty reactor system are discussed.