# The construction of ecological and economical production function for energy dependent economics

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Abstract:

A system model of two-sector economics in which energy and production sectors act separately is described. Production is divided into two sectors — the first sector makes the final product, and the second sector — produces energy required for a final product. The models for the production sectors are written down. The system model as a system of differential equation is obtained. Based on the distribution of productive capacity according to the technologies, the parametric representation of ecological and economical production function is shown.

References:

- Hritonenko N., Yatsenko Y. Mathematical modelling in economics, ecology and the environment series. Springer Optimization and Its Applications, Vol.88 (2013).
- McConnell C., Brue S., Flynn S. Macroeconomics / Edition 19. McGraw-Hill Higher Education (2011).
- Ponomarenko К. А. The basis of economical cybernetics. Kyiv: KNTEU, (2002), (in Ukrainian).
- Petrov A. A. Pospelov I. G., Shananin A. A. Experience in mathematical modelling of ecomonics. Moscow: “Energoizdat” (1996), (in Russian).
- Blyth W. The economics of transition in the power sector. International Energy Agency (2009).
- Kostrobii P. P., Gaiduchok O. V. Mathematical modelling of energy dependent economics. Phys.-math. modelling and inform. techn. Vol.19, 92–103 (2014), (in Ukrainian).
- Gaiduchok O. Results of energy dependent economics numerical simulation. Khmelnytskyi: Bulletin of KNU “Economic science”. N.1, vol.1, 184–186 (2009), (in Ukrainian).
- Gaiduchok O. System forecasting for two sector economics. Donetsk: “Economics: Problem of science and practise”. N.230, vol.II, 495–510 (2010), (in Ukrainian).
- Kaltenbacher B. Parameter identiﬁcation in partial differential equations. University of Linz (2005).
- Onyschenko A. “Construction of ecological and economical production function by the way of aggregating technology microlisting. Kyiv: Economic Bulletin NTUU “KPI”, N.8, 485–490 (2011), (in Ukrainian)

Bibliography:

Math. Model. Comput. Vol.2, No.1, pp.27-32 (2015)