NUMERICAL ALGORITHM OF FINDING THE UNKNOWN PARAMETERS OF THE MATHEMATICAL MODEL AS A SYSTEM DIFFERENTIAL DELAY EQUATIONS AND ITS APPLICATIONS

Atryahin V.A, Shamanaev P.A

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The article examines a mathematical model describing reproduction process of scientific staff on the stage of entering graduate school in form of delay differential equations which are widely used for modeling a dynamics of socioeconomic processes. The numeral algorithm of finding of unknown parameters of mathematical model is offered on the basis of the known statistical information for the interval of time, proceeding to examined. For a transition from the system of usual differential equations with delay to the system of finite-difference equations an integro-interpolation method is used. In the article the numeral algorithm of decision of for solving and algorithm of the use of the offered mathematical model is offered for prognostication of dynamics of quantity of applicants on entering for graduate school on the basis of statistical information for a few years, preceding the forecast span of time.

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Атряхин В.А, Шаманаев П.А ЧИСЛЕННЫЙ АЛГОРИТМ НАХОЖДЕНИЯ НЕИЗВЕСТНЫХ ПАРАМЕТРОВ МАТЕМАТИЧЕСКОЙ МОДЕЛИ В ВИДЕ СИСТЕМЫ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ С ОТКЛОНЯЮЩИМСЯ АРГУМЕНТОМ И ЕЁ ПРИЛОЖЕНИЕ // Научное обозрение. Физико-математические науки . 2020. № 1. С. 18-18;
URL: https://physics-mathematics.ru/en/article/view?id=9 (дата обращения: 24.06.2026).