Mathematical modeling of the process of sustainable development of the personnel potential of industrial universities

摘要

The paper considers mathematical differential models of the dynamics of the number of teaching staff of a railway university during a certain period of its functioning. With the help of the constructed systems of ordinary differential equations, a method for managing the sustainable development of the personnel potential of industrial universities is proposed. In his research, the author relied on the works of Russian scientists, in particular, on [1-5]. To implement the principle of the scientific approach, the article proposes a method for studying the regularities of the dynamics of the number of university faculty members using mathematical tools and mathematical modeling. Modeling in this case allows us to identify some patterns and contribute to the management of the sustainable development of the personnel potential of railway universities. The paper presents an 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 a specified time. In this paper, based on the methods of statistical analysis, the composition of PPS 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.