A mathematical model and the results of calculating the dynamics of heat and mass transfer and phase transformations in the processes of sorption and desorption in solid porous sorbents in adsorption systems are presented. The calculation results indicate the adequacy of the mathematical model and the effectiveness of the calculation method.Кеуwordsadsorption, desorption, adsorbent, adsorbate, mathematical modeling, intensity of phase transitions, mathematical modeling, dynamics of heat and mass transfer.