the system is formed as a combination of internal and
external factors, that stimulate or restrain the
equilibrium state of the region's economy. The
stability of the region's economy is ensured through
ecologization, national security, equitable resource
management, and competitive advantages of socio-
economic development.
By sustainable development of the territorial-
economical system, we mean the equilibrium state of
the production, investment, socio-demographic,
technical and technological, ecological spheres, when
positive changes in a particular sphere do not restrain
the development of any other sphere, but contribute
to the achievement of a general economic equilibrium
of the entire system of the region.
In the scientific literature, there are a number of
indicators and models for estimating the stability of
economic systems. To rate the sustainable
development of the territory, indicators, developed by
the UN (human capital index) and the World Bank (an
indicator of net savings), are used. In the methods of
economists, a set of socio-ecological indicators of
stability is used: socio-demographic, financial and
economic, technological, natural and ecological
(Bezdenezhnykh et. al., 2015), institutional,
geographic, demographic determinants (Moral-
Benito, 2009), economic, social and ecological
factors (Rahman and Velayutham, 2020), exports
(Kahouli and Kadhraoui, 2012). For regions, where
territories with a special economic status operate, an
important development factor is the development of
institutions, that provide access to funding sources,
reducing administrative barriers, and receiving tax
incentives (Pankova and Yakimova, 2020).
Economists (Hall, Jones, 1999, Bennett, 2019,
Zubarevich, 2017) distinguish infrastructural and
transport, and logistics factors as catalysts for the
growth of regional economies and opportunities for
developing resource and production capacity. In
models of sustainable growth, national income, the
level of accumulation of human and physical capital,
the growth in the population of the territory, the share
of the economically active population, and life
expectancy are used as determinants (Rahman and
Velayutham, 2020). Sustainable development of the
social sphere is achieved thanks to social equality, the
satisfaction of the population with living in the
territory, social infrastructure, and opportunities to
receive social benefits at a quality level. The
ecological component of sustainable development
reflects the efficient use of natural resources,
preservation of natural potential, prevention of
ecosystem dysfunctions, and loss of biodiversity.
Equilibrium is achieved by the stable development of
natural capital and lean technologies.
On the brink of the economic development of the
region, an important task is to maintain static and
dynamic stability, not only in the short term but also
in the medium and long term. Innovations and
investments are catalysts for long-term stability and
economic growth, employment and a high level of
value added (Goridko and Nizhegorodtsev, 2018).
The rational allocation of investments in projects,
implemented in the region, guarantees an increase in
the gross income of the region, and the creation of
transport and logistics facilities, housing construction
creates a comfortable living environment for the
population of the region.
2 MATERIALS AND METHODS
Equilibrium growth is observed in the case of a one-
time growth in all components of sustainable
development: investment, economic, production,
socio-demographic, ecological. Regional growth is
determined by the growth in sales of manufacturing
industry products, investments in capital assets,
growth in fixed assets of enterprises, exports, and
socio-demographic factors. The standard model is as
follows:
BbKbKacb
EbFbIbQbbGRD
876
43210
(1)
where GRD is GRP per head, Q is the volume of shipped
products of manufacturing industries in the region, I is
investments in capital assets of the region, F is the cost of
fixed assets of enterprises in the region, E is exports, d is
the demographic load factor (disabled persons per 1000
employable persons in the region ), Kac is the employed
population, K is the population, living in the region, B is the
emissions of pollutants into the air.
The standard of a multifactor model of socio-
economic development takes into account a set of
factors, that form the preconditions for achieving
sustainable equilibrium growth. The sustainable
development model includes a set of resources,
interacting with each other in the interests of
increasing the efficiency of the entire socio-economic
system of the region in the direction of the trend of
economic growth.