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

: pp. 27-32

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

Lviv Polytechnic National University
Lviv Polytechnic National University

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.

  1. Hritonenko N., Yatsenko Y. Mathematical modelling in economics, ecology and the environment series. Springer Optimization and Its Applications, Vol.88 (2013).
  2. McConnell C., Brue S., Flynn S. Macroeconomics / Edition 19. McGraw-Hill Higher Education (2011).
  3. Ponomarenko К. А. The basis of economical cybernetics. Kyiv: KNTEU, (2002), (in Ukrainian).
  4. Petrov A. A. Pospelov I. G., Shananin A. A. Experience in mathematical modelling of ecomonics. Moscow: “Energoizdat” (1996), (in Russian).
  5. Blyth W. The economics of transition in the power sector. International Energy Agency (2009).
  6. 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).
  7. Gaiduchok O. Results of energy dependent economics numerical simulation. Khmelnytskyi: Bulletin of KNU “Economic science”. N.1, vol.1, 184–186 (2009), (in Ukrainian).
  8. Gaiduchok O. System forecasting for two sector economics. Donetsk: “Economics: Problem of science and practise”. N.230, vol.II, 495–510 (2010), (in Ukrainian).
  9. Kaltenbacher B. Parameter identification in partial differential equations. University of Linz (2005).
  10. 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)