The concept of sustainable development lies in the ideas of rational management of natural resources. The implementation of modern approaches of this concept to the processing of persimmon and obtaining food extracts on its basis makes it possible to largely preserve the useful characteristics of this fruit raw material. The key aspect is the intensification of the extraction process, which allows extracting useful substances (vitamins, antioxidants, sugars and other biologically active compounds) in the required amount with maximum efficiency and minimal losses. Extraction intensification was carried out on the basis of its static, kinetic and hydrodynamic patterns. The purpose of this study is the construction and adaptation to the object the process of the study, as well as the solution of the mathematical model. Computer modeling is advisable for the operational management of complex mass exchange processes, especially in the case of obtaining the necessary data theoretically or empirically. In addition, the obtained adaptive computer models of extraction processes will allow, by varying the boundary conditions of its implementation, to implement an iterative procedure, the application of which will predict the amount of substances soluble in the extractant in the composition of the fruit raffinate, satisfying the overall material balance.