Korobova M. Dynamic optimization and balance models of economic and environment interaction

The thesis is devoted to the problem of creating and investigation of balance and optimization types of ecology and economic interaction mathematical models. Optimization ecology and economic processes models of different aggregation degree, which develop and append neo-classical economic growth models, static balance type economic models, and models of economics and environment interaction are built. These mathematical models are investigated by terms of Sustainable Development conception. Sufficient conditions of balanced exponential economy's growth existence in ecology and economic balance conditions are obtained. A dynamic analogue of the classical input-output ecology and economic Leontief-Ford model is proposed. The necessary and sufficient conditions of economy acceptable solutions existence are determined. Neumann analogue for dynamic Leontief-Ford system is constructed and conditions of its balanced states are obtained.