Tadeyev Y. Economic-mathematical modeling of ecologic-economical systems in conditions of sustainable development

The dissertation deals with the further investigation on theoretic, methodological and methodic approaches in economic-mathematical modeling of ecologic-economical systems in conditions of sustainable development. According to the principles of sustainable development the problem of economy ecologization process and construction of special economic-mathematical models of ecologic-economical balance have been analyzed by the author. The expansion of classic model of inter-branch ecologic-economical Leontiyev-Ford balance by means of including transitive hand creative capital into the model has been fulfilled, and also non-linear extended model was considered and sufficient conditions of its productivity were established. The vector ecologic-economical productive function which components are two indexes: the output of final product and penetration of means of pollution into the atmosphere has been constructed. The expansion of classic dynamic inter-branch model (pi-model) in case of ecologic-economicaldevelopment was fulfilled, also the position of dynamic balance with special tempo of increase was established for it. This result also spreads on non-linear model when non-linear functions of the model are non-negative, monotonic increasing, linear-homogeneous functions.