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.