Geodesic
Study of a Three-Factor Dynamic System of the Region Economy with Considering of Final Consumption and Limited Resources
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Tome 148 (2018), pp. 75-82

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A three-factor modification of the R. Solow model is constructed, taking into account final consumption and limited resources. The dynamics of a population is determined by the Ferhulst equation, the final consumption depends on the population. According to the Russian Federal State Statistics Service, the model parameters for the Ryazan Region were identified. The analytical and numerical study of the behavior of solutions of the resulting dynamical system is conducted.
Keywords: dynamic system, economic and mathematical model, modification of the Solow model, behavior of solutions. 
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     author = {E. Yu. Liskina},
     title = {Study of a {Three-Factor} {Dynamic} {System} of the {Region} {Economy} with {Considering} of {Final} {Consumption} and {Limited} {Resources}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {75--82},
     publisher = {mathdoc},
     volume = {148},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_148_a9/}
}
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E. Yu. Liskina. Study of a Three-Factor Dynamic System of the Region Economy with Considering of Final Consumption and Limited Resources. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Tome 148 (2018), pp. 75-82. http://geodesic.mathdoc.fr/item/INTO_2018_148_a9/