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.

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