MATHEMATICAL MODEL OF DEVELOPMENT OF INVESTMENT PROCESS IN CONTINUOS TIME
Work is devoted to the analysis of the investment processes which have become reality of development of modern economy. These processes are widely covered, however so far there are no models for the description and interpretation of these processes in continuous time. Data provided in scientific literature, generally describe development of investment processes visually and qualitatively, and estimates are given with discretes in time with intervals in year or quarter. In article the mathematical model using methodology of modeling of transients in dynamic systems with continuous time is considered. It is entered into consideration complex economic parameter in the form of function of many variables. Upon transition to two-parametrical dynamic model of property of certain canals are presented in the form of aperiodic links of the first order. Already in this approach it is possible to establish existence of three types of transition processes among which the most typical is development with initial recession of efficiency of functioning of system, with the subsequent restoration of efficiency and its increase at the final stage. For typical process quantitative ratios for an assessment of size of the maximum recession of productivity, time of restoration of former productivity, a payback period of initial expenses, the maximum productivity upon termination of transition processes are received. The offered model allows to analyze step influences and casual indignations, and also to define changes in time of important economic parameters of the enterprise (net profit, productivity, etc.), and also the current profitability of the investment project.