Model of the dynamics of enterprise development, taking into account the processing of its production waste

The published article proposes a mathematical model of the dynamics of the development of a multifactor enterprise, taking into account the processing of its production waste into useful products. The production activity of such an enterprise is described by two production functions, one of which transforms resources into the enterprise’s products, and the other transforms resources into waste. The process of transition at a certain time interval of the enterprise to a waste-free circular economy is described using a special dimensionless logistic function. A system of differential equations is constructed that describes the process of converting part of the enterprise’s waste into useful products. A version of a single-factor model of an enterprise processing production waste is studied in detail. The features of changes in the economic indicators of the enterprise accompanying its normal production into waste-free production are considered.