arXiv Open Access 2025

A mathematical model for the bullying dynamics in schools

Nuno Crokidakis
Lihat Sumber

Abstrak

We analyze a mathematical model to understand the dynamics of bullying in schools. The model considers a population divided into four groups: susceptible individuals, bullies, individuals exposed to bullying, and violent individuals. Transitions between these states occur at rates designed to capture the complex interactions among students, influenced by factors such as romantic rejection, conflicts with peers and teachers, and other school-related challenges. These interactions can escalate into bullying and violent behavior. The model also incorporates the role of parents and school administrators in mitigating bullying through intervention strategies. The results suggest that bullying can be effectively controlled if anti-bullying programs implemented by schools are sufficiently robust. Additionally, the conditions under which bullying persists are explored.

Topik & Kata Kunci

Penulis (1)

N

Nuno Crokidakis

Format Sitasi

Crokidakis, N. (2025). A mathematical model for the bullying dynamics in schools. https://arxiv.org/abs/2501.04752

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2025
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓