MATHEMATICAL MODEL OF SOCIO-ECONOMIC AND ECOLOGICAL SYSTEMS INTERACTION

Abstract

The article analyzes the current state of ecological and technogenic safety of urban settlements territories.
The tendency of greening, acquiring a practical orientation and having a great significance for the development
of the national economy, is revealed.
The absence of a theoretical foundation, which guarantees a safe for the environment development of
urban settlements and necessary for a right choice of control actions on the subjects of urban development activities,
which helps to effectively implement the strategy of sustainable development of territories. The authors
suggest the transition to a fundamentally new system of specified parameters, taking into account the interconnection
of energy parameters of urban development and ecological systems.
The theoretical model which establishes a functional link between the negenthropy of an urban settlement
and the negenthropy of its ecosystem-donor is obtained. Based on this relationship it is possible to
create a unified regulatory framework, which provides acceptable levels of environmental and construction
safety, as well as involves the mechanism of negentropic territorial quota arrangement.
The authors justify the destruction of natural synergistic mechanisms of clustering under the influence
of extraction of natural negentropic resources from the environment, which is being transformed, included into
the entropy of artificial habitat.
The research results form the theoretical basis of an economic mechanism for regulation of ecological
and technogenic safety of urban territories, the essence of which consists in establishing dynamic territorial
negentropic quotas.
The practical application of new scientific results will create necessary conditions for elimination of violations
and unfair competition and the transition to cooperation and collaboration between all participants of
the urban development and stimulate the scientific and technological progress aimed at establishing parity relationship
with the nature.