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Моделирование формирования вузовских контингентов на основе уравнений популяционной динамики

Моделирование формирования вузовских контингентов на основе уравнений популяционной динамики

Abstract

Математическая модель конкуренции двух вузов за ограниченный контингент абитуриентов, предложенная Л.А. Серковым, была упрощена до уровня, позволяющего исследовать её методами качественной теории динамических систем. Определены 8 особых точек упрощённой динамической системы и проделан анализ их устойчивости, что позволило получить все режимы поведения образовательной системы. Модель распространена на n + 1-мерный случай (n вузов, конкурирующих за ограниченный контингент абитуриентов).

Keywords

МАТЕМАТИЧЕСКАЯ МОДЕЛЬ,УРАВНЕНИЯ ПОПУЛЯЦИОННОЙ ДИНАМИКИ,КОНКУРЕНЦИИ ВУЗОВ,КАЧЕСТВЕННАЯ ТЕОРИЯ ДИНАМИЧЕСКИХ СИСТЕМ,УСТОЙЧИВОСТЬ ОСОБЫХ ТОЧЕК,ВУЗОВСКИЕ КОНТИНГЕНТЫ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold