Abstract
The problems of sustainable development and management of the region's ecology on the basis of its economic and mathematical models are studied. As an example, the issues of sustainable development and environmental management of the oil regions are considered. To develop models of sustainable development and management of the region's ecology, the principle of a program-target approach is used. The possibility of taking into account the reaction of the ecological-socio-economic system to all factors with the help of economic-mathematical models, as well as the development of a program for the sustainable development of the region using such models, is substantiated. To assess the state of the ecological, social and economic system, the factors of management, economic development, as well as factors of technological and institutional development are considered. A model of a causal relationship between the ecological-socio-economic system of the region and a group of external development factors is proposed and described. Based on the proposed conceptual model using the method of adaptive balance of causes, a mathematical model of the ecological-socio-economic system has been developed. The developed mathematical model makes it possible to determine the reactions of the ecological-socio-economic system to external factors and predict the development scenario of the ecological-socio-economic system based on the forecast of changes in external factors.