Dynamic Nonlinear Analysis of Human Resource Management in Public Administration and Regional Development

Abstract
This article presents a comprehensive dynamic nonlinear analysis of human resource management (HRM) within the context of public administration and regional development. By employing advanced mathematical modeling techniques, we explore the intricate relationships between HRM practices and their impact on organizational effectiveness and regional growth. The study utilizes nonlinear differential equations to capture the dynamic interactions among various HRM variables, including recruitment, training, retention, and performance evaluation. Through simulations and case studies, we demonstrate how nonlinear dynamics can reveal critical insights into the adaptive behaviors of public institutions in response to changing socio-economic conditions. Our findings highlight the importance of strategic HRM in fostering sustainable development and enhancing public service delivery. This research contributes to the theoretical framework of HRM in public administration and offers practical implications for policymakers and administrators aiming to optimize human capital in regional development initiatives.
Description
Keywords
human resource management, public administration, nonlinear dynamics, regional development, mathematical modeling
Citation
Dynamic Nonlinear Analysis of Human Resource Management in Public Administration and Regional Development [Electronic resource] / Anna Levchenko, Oleksandr Kalinin, Nadiia Onikiienko [et al.] // Panamerican Mathematical Journal. – Electronic text data. – 2025. – Vol. 35, № 3s. – Mode of access: https://internationalpubls.com/index.php/pmj/article/view/3629/2033. – Title from screen.