Geodesic
A one-sector model of economic growth with a~nonlinear production function and related environmental quality
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 4, pp. 73-92

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In this paper we suggest a stylized optimization one-sector model of national economic growth with a non-linear production function and environmental quality control. A steady-state of the Hamilton system is found analytically, while the optimal trajectory is calculated numerically. The model is calibrated for Russia.
Keywords: mathematical modeling, optimal control, economic growth, sustainable development. 
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     author = {Elena A. Rovenskaya},
     title = {A one-sector model of economic growth with a~nonlinear production function and related environmental quality},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
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     url = {http://geodesic.mathdoc.fr/item/MGTA_2012_4_4_a4/}
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Elena A. Rovenskaya. A one-sector model of economic growth with a~nonlinear production function and related environmental quality. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 4, pp. 73-92. http://geodesic.mathdoc.fr/item/MGTA_2012_4_4_a4/