Jurnal Penelitian Pendidikan IPA (JPPIPA)
Vol 12 No 5 (2026)

Model Matematika SEICR Stres Akademik pada Mahasiswa Kimia di Provinsi Aceh

Jelita Jelita (Institut Agama Islam Negeri Langsa)
Budi Irwansyah (Institut Agama Islam Negeri Langsa)
Lilla Puji Lestari (Universitas Maarif Hasyim Latif Sidoarjo)
Faidliyah Nilna Minah (Institut Teknologi Nasional Malang)
Nuraida Nuraida (Institut Agama Islam Negeri Langsa)



Article Info

Publish Date
15 Jun 2026

Abstract

Academic stress among higher education students is a common concern that requires thorough investigation. This study develops and analyzes a SEICR (Susceptible–Exposed–Infected–Confirmed–Recovered) mathematical model to describe academic stress dynamics among chemistry students, treating stress as a contagious phenomenon transmitted through social interactions and peer influence. The model captures the progression of students from susceptibility to stress exposure, active stress, coping intervention, and recovery while incorporating behavioral and institutional factors. A system of nonlinear ordinary differential equations is formulated and analyzed through equilibrium and stability analyses. The basic reproduction number, R₀, is derived using the Next Generation Matrix method and serves as a threshold parameter governing system dynamics. Results indicate that academic stress diminishes and approaches a stress-free equilibrium when R₀ < 1, whereas stress persists and becomes endemic when R₀ > 1. Sensitivity analysis based on the Partial Rank Correlation Coefficient (PRCC) identifies the coping transition rate (δ) as the most influential parameter in reducing stress prevalence, while the transmission rate (β) has a moderate effect. These findings suggest that intervention accessibility plays a greater role than transmission intensity in shaping stress dynamics. Therefore, mitigation strategies should emphasize early detection, timely intervention, and accessible coping support.

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Journal Info

Abbrev

jppipa

Publisher

Subject

Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Education Materials Science & Nanotechnology Physics

Description

Science Educational Research Journal is international open access, published by Science Master Program of Science Education Graduate Program University of Mataram, contains scientific articles both in the form of research results and literature review that includes science, technology and teaching ...