Model Matematika Dinamika Perilaku Bullying dengan Intervensi Sekolah dan Resiliensi Siswa

Noraniza Bahrotul Ilmi; Muna Afdi Muniroh; Ratri Candra Hastari; Nizarkasyi Fighar Prasetya

doi:10.26877/imajiner.v7i6.24956

Model Matematika Dinamika Perilaku Bullying dengan Intervensi Sekolah dan Resiliensi Siswa

Noraniza Bahrotul Ilmi, Muna Afdi Muniroh, Ratri Candra Hastari, Nizarkasyi Fighar Prasetya

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.

Keywords

dynamical analysis;bullying;stability;mathematical model

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DOI: https://doi.org/10.26877/imajiner.v7i6.24956