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The paper considers mathematical differential models of dynamics of the number of teaching staff of a railway university during a certain period of its functioning. Using the constructed systems of ordinary differential equations, a method for management of the strategic development of the staff potential of branch universities is proposed. In his research, the author relied on the works of Russian scientists, in particular, on the works [1-5]. To implement the principle of scientific approach, the article proposes a method for studying the regularities of dynamics of the number of university teaching staff, using mathematical tools and mathematical modeling. Modeling in this case makes it possible to reveal some patterns and contribute to the management of the strategic development of the staff potential of railway universities. The paper presents the analytical solution of the Cauchy problem for a system of differential equations with given initial conditions. The model built on the basis of differential equations has practical value, because it allows you to determine and predict the number of personnel of the university at the specified time. In this paper, on the basis of statistical analysis methods, the composition of the teaching staff by age is studied. Some negative trends in the groups of teachers that create risks in the provision of the university with highly qualified personnel are identified. |
