Geodesic
Difference dynamic input --- output models
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 19 (2023) no. 1, pp. 51-64

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In this work, the object of study is the economy of the region. To describe it, a regular method for constructing difference input — output dynamic models is proposed. This approach involves modeling not only the sphere of production, but also the sphere of consumption. To do this, the vector of phase variables includes the gross domestic product. The variability of the model consists in the ability to take into account various macroeconomic parameters depending on the ultimate goals of analysis and control of macroeconomic trends. It is shown that the dynamics of the economy with direct investment in various sectors of the economy is described by linear controlled difference systems. If there is a need to take into account other macroeconomic parameters that increase the sensitivity of the model to managerial influences, then this leads to nonlinear difference systems of various types. In the final part of the article, a scenario approach for the development of investment projects is described. This approach is based on the principles of constructing program controls and stabilizing the corresponding program movements of a controlled difference system.
Keywords: dynamic input — output model, difference equations, scenario approach, program controls, stabilization. 
@article{VSPUI_2023_19_1_a4,
     author = {N. V. Smirnov and T. E. Smirnova and M. A. Smirnova and M. N. Smirnov},
     title = {Difference dynamic input --- output models},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {51--64},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2023_19_1_a4/}
}
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N. V. Smirnov; T. E. Smirnova; M. A. Smirnova; M. N. Smirnov. Difference dynamic input --- output models. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 19 (2023) no. 1, pp. 51-64. http://geodesic.mathdoc.fr/item/VSPUI_2023_19_1_a4/