Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population

Mehmet Kocabıyık; Zeynep Sena Baloğlu

doi:10.53570/jnt.1840399

Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population

Abstract

This study proposes a comprehensive mathematical framework to investigate the emergence, progression, and reduction of job anxiety among senior undergraduate students and recent graduates. Job anxiety has emerged as a prominent psychological concern for students, stemming from a multitude of factors, including uncertainty regarding future employment prospects, academic pressure, and the transition to professional life. To capture the dynamic nature of this phenomenon, a compartment-based model is constructed by categorizing individuals into groups representing different levels of susceptibility, risk, anxiety, support, and recovery. The model diagram and the associated system of differential equations are formulated to describe the transitions between these parameters. The equilibrium points of the system are identified, and their stability properties are analyzed to determine the conditions under which job anxiety persists or diminishes within the population. The numerical analyses are conducted using parameter values obtained through a survey administered to university students. The simulation results demonstrate the progression of job anxiety over time and underscore the factors that contribute to its escalation or mitigation. These findings offer a quantitative perspective on the psychological challenges faced by students and demonstrate the potential of dynamic modeling to inform support strategies and intervention policies. The study concludes by focusing on the theoretical and practical implications of the proposed model and delineating future research directions to enhance student well-being during the transition to professional life.

Keywords

References

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Details

Primary Language

English

Subjects

Numerical Solution of Differential and Integral Equations, Numerical Analysis, Dynamical Systems in Applications

Journal Section

Research Article

Authors

Mehmet Kocabıyık ^*
0000-0002-7701-6946
Türkiye

Zeynep Sena Baloğlu
0009-0003-7265-189X
Türkiye

Publication Date

March 30, 2026

Submission Date

December 11, 2025

Acceptance Date

March 5, 2026

Published in Issue

Year 2026 Number: 54

DOI

https://doi.org/10.53570/jnt.1840399

IZ

https://izlik.org/JA99NC64AK

Cite

RIS / Bibtex

APA

Kocabıyık, M., & Baloğlu, Z. S. (2026). Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population. Journal of New Theory, 54, 29-48. https://doi.org/10.53570/jnt.1840399

AMA

1.Kocabıyık M, Baloğlu ZS. Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population. JNT. 2026;(54):29-48. doi:10.53570/jnt.1840399

Chicago

Kocabıyık, Mehmet, and Zeynep Sena Baloğlu. 2026. “Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population”. Journal of New Theory, nos. 54: 29-48. https://doi.org/10.53570/jnt.1840399.

EndNote

Kocabıyık M, Baloğlu ZS (March 1, 2026) Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population. Journal of New Theory 54 29–48.

IEEE

[1]M. Kocabıyık and Z. S. Baloğlu, “Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population”, JNT, no. 54, pp. 29–48, Mar. 2026, doi: 10.53570/jnt.1840399.

ISNAD

Kocabıyık, Mehmet - Baloğlu, Zeynep Sena. “Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population”. Journal of New Theory. 54 (March 1, 2026): 29-48. https://doi.org/10.53570/jnt.1840399.

JAMA

1.Kocabıyık M, Baloğlu ZS. Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population. JNT. 2026;:29–48.

MLA

Kocabıyık, Mehmet, and Zeynep Sena Baloğlu. “Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population”. Journal of New Theory, no. 54, Mar. 2026, pp. 29-48, doi:10.53570/jnt.1840399.

Vancouver

1.Mehmet Kocabıyık, Zeynep Sena Baloğlu. Mathematical Modeling and Dynamical Analysis of Job Anxiety in a Student Population. JNT. 2026 Mar. 1;(54):29-48. doi:10.53570/jnt.1840399