Development and Stability Analysis of the SEIR-Epi-Mod-QR/Alt Model for Smart Campus Management of Student Stress and Academic Misconduct
DOI:
https://doi.org/10.33003/fjs-2026-1018-5896Keywords:
SEIR model, student stress, academic misconduct, smart campus, QR Technology, Stability AnalysisAbstract
Student stress and academic misconduct remain major concerns in higher education institutions, particularly in technology-mediated learning environments. Many existing monitoring systems focus on record-keeping and are largely reactive, offering limited predictive insight for early intervention. Based on the role of early detection and intervention, a hybrid epidemiological model SEIR–Epi-Mod–QR/Alt is developed in this paper, which describes the dynamic interaction between student stress, academic misconduct, and smart campus monitoring. This model categorizes students as susceptible, exposed, misconduct-active, and recovered, and includes QR/Alt enabled early detection and mitigation. The existence, uniqueness, positivity, boundedness, equilibrium states, and local and global stability of the model are obtained through basic mathematical analysis. The numerical simulations of over a 180- day school term reveal that the threshold for stress reproduction drops from around 1.505 to 0.755 by increasing the QR/Alt-enabled early detection and mitigation rate from 0.05 to 0.20 per day, which in turn results in lower peak levels of misconduct-active students and shorter misconduct persistence. The simulations also illustrate that higher stress relapse can result in a higher likelihood that misconduct-active students will remain misconducted over time even with good early detection. The results indicate that within the model context, early detection, counselling, and ongoing academic support may be helpful in reducing academic dishonesty related to stress among students. The research establishes a mathematical framework to assess the effectiveness of early intervention plans for student support and academic integrity on a smart campus.
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