Prasetya, Nizarkasyi Fighar
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Model Matematika Dinamika Perilaku Bullying dengan Intervensi Sekolah dan Resiliensi Siswa Ilmi, Noraniza Bahrotul; Muniroh, Muna Afdi; Hastari, Ratri Candra; Prasetya, Nizarkasyi Fighar
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 7, No 6 (2025): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v7i6.24956

Abstract

In this study, a model of bullying behavior transmission was developed by incorporating school interventions and student resilience. Finding the equilibrium point, figuring out the basic reproduction number , and assesing the equilibrium point’s stability are all part of dynamical analysis. Two equilibrium points are identified, namely the bullying-free equilibrium and the bullying-present equilibrium.. The dynamical analysis result shows that the bullying- free equilibrium point is locally asymtotically stable if , conversely, when  the bullying-present equilibrium point is locally asymtotically stable. The numerical simulations result are consistent with the analytical result.