Bullying is defined as a specific type of aggression, in which the behavior is intended to harm or disturb, the behavior occurs repeatedly, and there is an imbalance of power. This results in significant psychological damage in the victim, but also in the bully. Studies report the number of bullied children in middle schools as between 4% and 82%. The goals of our study are to understand how bullying behavior spreads in a population of adolescents, and to examine the impacts of the most common bullying intervention strategies. We propose a compartmental model parametrized using data on the prevalence of bullying. We compute the basic reproductive number R0 and perform numerical simulations and a sensitivity analysis of the model. An extension of the simple model includes the most common intervention strategies. Numerical simulations suggest that the Traditional Disciplinary Approach, although commonly implemented, is the least effective of the intervention strategies we study.