Technology of Mathematical Modeling in Forecasting Psychological Resources of Proactive Coping (on the Example of the Personality of a Medical Worker)
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Psychology of Personality

UDC

159.923:519.711.3:616-051

DOI

https://doi.org/10.31429/26190567-26-1-124-145

How to Cite

Aksyutenkov, G.S., Knyazeva, E. (2025). Technology of Mathematical Modeling in Forecasting Psychological Resources of Proactive Coping (on the Example of the Personality of a Medical Worker). South-Russian Journal of Social Sciences, 26(1), 124-145. DOI: 10.31429/26190567-26-1-124-145
Submission Date December 10, 2024
Accepted Date February 12, 2025
Published Date March 28, 2025
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright (c) 2025 Аксютенков Г.С., Князева Е.В.

Abstract

The article reflects the results of the empirical substantiation of the technology of mathematical modeling for predicting the psychological resources of proactive coping using the example of a medical worker. The following hypothesis was tested: proactive coping in the system of coping strategies acts as a predictor of psychological resources of the individual’s resistance to the development of emotional (professional) burnout, which can be confirmed using mathematical modeling technology and the developed model of prognostic diagnostics. The manifestations of symptoms of professional burnout were studied in a sample of 250 medical workers. The results showed that 59.2% of respondents did not have pronounced symptoms of burnout. However, confirmation of the tendency to develop professional burnout syndrome in 40.8% of respondents determines the high demand for finding scientifically based directions of psychological support for subjects of this type of activity. The resource base of a personality not susceptible to burnout syndrome is determined by a smoothed configuration of the personality profile with an average level of expression of the diagnosed qualities. Subjects are sociable, balanced, situational in activating extra- and introversion. In a significant part of respondents, proactive coping (PRO) of average activity level is a resource in overcoming stress. At the average level, all types of reflection of activity (retrospective, prospective, current, communication) are developed. The integral system of self-regulation of voluntary activity is characterized by the predominance of the mechanism of modeling external and internal significant conditions for overcoming difficult situations, their awareness, detail and adequacy. At the second stage of the study, the task of conducting mathematical modeling of the obtained structural-­dynamic variables and developing a model of predictive diagnostics of psychological resources to counteract the risks of maladaptation of medical workers was solved. The “PRO” component received the status of an effective attribute. Step by step, for further research, the following features were included, confirmed by the analysis of variance as factors: “masculinity/femininity”; “reflective coping”; “preventive coping”; “retrospective reflection of activity”; “reflection of future activity”; “independence”; “flexibility”; “programming”. An analytical equation (regression model) was obtained to determine the mathematical relationship between the resultant feature and the factor features using the least squares method. At the final step, the average values of the features were determined as their mathematical expectation to construct the ideal trend line. It was shown that comparing the values of y (average) and y (individual) allows us to determine how large the overall deviation of the personal trajectory of the resultant feature (PTF) from the given one is, and what should be done to bring them closer together.

Keywords

mathematical modeling emotional burnout proactive coping personality profile reflection of activity self-regulation psychological resources

Funding information

Исследование выполнено при финансовой поддержке Кубанского научного фонда в рамках научно-инновационного проекта № НИП-20.1/22.36 «Система и технология противодействия рискам профессиональной дезадаптации и снижения качества жизни медицинских работников в условиях техногенных, биогенных угроз».

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