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All Journal Zero : Jurnal Sains, Matematika, dan Terapan
Fathoni, M. Ivan Ariful
Universitas Nahdlatul Ulama Sunan Giri
Agriculture, Biological Sciences & Forestry Chemistry Mathematics Physics

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Modeling Student Organizational Engagement in Higher Education Using an Adapted SIR Dynamic System Fathoni, M. Ivan Ariful; Mufidah, Izzatul
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 2 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i2.25834

Abstract

Student involvement in organizations is essential for developing leadership, collaboration, and broader competencies in higher education. This study analyzes the dynamics of student organizational engagement using an adapted SIR (Susceptible–Infective–Recovered) mathematical model, where the three compartments respectively represent non-members (S), active members (I), and former members (R). Parameters including recruitment rate , disengagement rate , and reactivation rate  were selected and calibrated based on prior studies in educational and social diffusion modeling. Numerical simulations conducted in MATLAB indicate convergence toward a stable equilibrium with approximately 52% non-members, 35% active members, and 13% former members, depending on parameter variation. The results also show that increasing recruitment by 50% or reducing disengagement by half accelerates system stabilization and raises the equilibrium proportion of active members by up to 20%. These findings provide quantitative insight into how organizational participation evolves dynamically and offer practical implications for universities to design data-informed policies that enhance recruitment, sustain engagement, and improve student leadership development over time.
Co-Authors Mufidah, Izzatul