For the three main processes of the enterprise, identified in the decomposition of its activities, a mathematical model in the space of conditions is developed, taking into account their relationship and interaction in the quality management system. For the obtained system of differential equations, the structural composition of the operators included in it is disclosed. An example of the application of the created mathematical model in the study of the functioning of the quality management system using linear and non-linear operators and the action of random external disturbances is considered. A discussion of the simulation results at various parameter values from the point of view of the functioning of the selected processes is presented.

Keywords: differential equation, space of conditions, process, quality management system