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LOGISTIC MODELS IN PROBLEMS OF ECONOMIC DYNAMICS


It was considered system of mathematical relationships between the parameters of the object of the economic system, described by mathematical means in the form of equations (algebraic, differential, difference, integral), graphs, tables, charts and other means of construction, which describes the fundamental laws of material properties of the economic process. It is not considered secondary properties of the economic objects, parameters of which are not taken into account by the study of the economic process essence because they have little influence on the natural process.

Mathematical models are abstract models of economic models originals, which can describe by math tools the same economic process with different approximation errors to reality. But model can not fully display all properties and relationships between parameters of the modeled object.

A special place in the economic modeling has the balance model. They describe a state of the economic system, when all factors change of process can not take it out of balance, that their resultant is zero. Mathematical models of balance economic models are the model of macroeconomics.

The static models describe the state of economic object at some moment of time or time interval. The dynamic models describe the functional relationship between the changes of parameters of the time. These models generally use math tools of differential and difference equations.

The problems of economic dynamics include not only the description of the processes of leading to balance of economic system, but also the transformation processes of this state by the influence of external forces. Economic dynamics use mathematical analysis, calculus of variations, graphic methods, theory of catastrophes.

Economic-mathematical models of economic dynamics describe the behavior of the system (descriptive). Also used the optimization models to find the optimal state.

Note that the stages of problem statement and economic-mathematical model construction use conventional methods of modeling.

At the last stage decide respectively for the purpose of research. As a result the model can be supplemented by the new equations that describe control influences. In this case it is necessary to repeat analysis for determine the conformity of system dynamics purposes to its operation.



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Keywords:  model of natural growth, logistic trend, difference equations.

RISK MANAGEMENT

Zinkevych Tetyana
PhD, Associate Professor




Melnik Olga
PhD, Associate Professor

 

 

 

 

 

 

 

 

 

 

 

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