Abstract

Purpose. The aim of the article is to develop dynamic models of the economy taking into account the utilization of industrial and non-industrial pollution products and the control of environmental pollution by unused residues of pollution products. Methodology of research. The following general scientific methods were used in the research process: method of theoretical generalization – for substantiation of theoretical bases and conceptual approaches to revealing the essence of processes of ecological and economic interaction, system approach – for research of economy as integral ecological and economic system, method of mathematical modelling – for formalization of differential models economic dynamics of a single-sector economy, methods of analysis and generalization – to study the parameters of parameterization and modification of models, as well as their practical application. Findings. The result of the work is the developed differential models of ecological and economic dynamics of a one-sector economy, in which the production of basic aggregate products, utilization of industrial waste and pollution products of the non-productive sphere are carried out, and environmental pollution processes are controlled. The dynamics of economic systems reproduced by the models is described in the spaces of social and economic and environmental variables, which include liquid savings of production owners and workers employed in these industries, the price of basic aggregate products, the tariff for pollution emissions and the volume of pollution products unutilized by producers and nature. The models allow extensions and modifications that take into account their applied orientation and the possibility of practical application. Originality. The proposed models formalize ecological and economic dynamics in the conditions of social and economic clustering of society and allow balancing the ecological and social aspects of the economy under study. Practical value. The developed models can be used as a tool for a qualitative and a quantitative analyses of the trajectories of ecological economy both at the regional level and at the macro level, its separate states that can be steady or unstable, low-productive or highly productive which allows to estimate a level of greening the economy and its conformity to ecological standards, etc. and to form thorough expert-analytical base to support appropriate management decisions. Key words: One-sector economy, ecological and economic dynamics, utilization, environmental pollution, model, modelling.

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