The article deals with the development of the economic-mathematical model of the sustainable development of the system reflecting all aspects of its functioning. The estimation of the sustainable development of system is offered to be carried out in integrated factor of the sustainable development, which calculates on the basis of factors of economic, social and ecological stability. Value of integrated factor gives representation about a condition of the natural-industrial complex.
The article deals with the development of an integrated model of the economic system development process, reflecting all aspects of its functioning. It is proposed to assess the sustainable development of the system by the integral coefficient of sustainable development, which is calculated on the basis of the coefficients of economic, social and environmental sustainability. The development variant, at which the maximum value of the integral coefficient of sustainability is achieved, is the most stable (when the value of the coefficients of economic, social and environmental sustainability is greater than one). Thus, the criterion of system stability can be formulated as maximization of the integral stability coefficient.
The problems of realization of the concept of sustainable development are considered, the criteria of which are preservation and improvement of the quality of the natural environment, achievement of a certain quality of life of the population and increase in the efficiency of nature management. Currently, to prevent environmental crises it is necessary to change the technogenic type of development to a sustainable type of development, which from the position of rational nature management implies the improvement of methods of economic evaluation of natural resources, the development of a system of indicators of sustainable development of natural resource systems.
The problems of environmental and economic justification of innovative solutions for the sustainable development of the Kingisepp mining and industrial complex, the functioning of which largely determines the development of the economy of Kingisepp district and the Leningrad region, are highlighted. The greatest influence on the economy and ecology of the district has LLC PG Phosphorit. One of the factors increasing production efficiency at OOO PG Phosphorit while reducing the negative impact on the environment is the ecologization of organizational and technical solutions. As such solutions, the organization of the system of hydraulic transport of phosphate rock for processing and the creation of drainage structures at phosphogypsum dumps are proposed.
The prospects of sustainable development of the Kingisepp Mining and Industrial Complex, the functioning of which has a significant impact on the development of the economy of Kingisepp district and the Leningrad region, are associated with both the development of existing enterprises and the creation of new ones focused on the involvement of local resources, including minerals, in production. One possible way to solve the problems of sustainable development of the district is the development of the Phosphorit industrial zone. As one of the organizational and technical solutions to improve the efficiency of OAO Phosphorit, the production of emulsion explosives at the enterprise is proposed.
