Lotka-Volterra model as an instrument of the investment and innovative processes stability analysis

The aim of the article. The aim of the article is to change investment processes in the economic system, to define impact factors on investment resources distribution, and also their estimation owing to Lotka-Volterra synergetic model.The results of the analysis. Modern tendencies of the native economy development, political unsteadiness, imperfection of the legislative base precondition decrease of the investment and innovative processes in country. The conducted analysis of the main statistic factors, which reflect investment and innovative development in Ukraine and Sumy district, showed unsteadiness in modern investment processes. Investment climate continues to be negative. Thus, it makes foreign investors to carry out careful policy in sphere of the investment cooperation with Ukraine, and so it causes shortage of the financial resources, leading to the business struggle between economic system subjects.The work grounds necessity to use systematic approach to analysis, which considers synergy of various components in transformations of the modern social and economic environment. Synergetic approach defines impossibility of the full description by adequate behavior terms in the complicated system and its development process, as axiom. However it lets to outline determinancy, general and specific regularities, principals and peculiarities of the economic system dynamics. Thus, synergetic models use in investment processes description creates possibility to study economic system changes path with different values of incoming parameters and to find optimal decisions for problems.In order to find principal peculiarities in processes and to estimate impact parameters on economic system state, the Lotka-Volterra model is observed, that allows to describe main factors, influencing the investment processes in economic systems of the regional level, on example of Sumy district, to reveal essential regularities in business struggle in economic system, and also to model interconnection at the market through the suggested model parameters.Conclusions and directions of further researches. The model is observed, that allows to describe main factors, influencing the investment processes in economic systems of the regional level is qualitative, and makes a claim to describe accurate quantitative image of the processes,which take place in economic system. However, simultaneous use of the suggested equations and other methods allow to use Lotka-Volterra model to reveal essential regularities in the business struggle in the economic system, and also to model interconnection at the market through the suggested parameters in the model.