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Epidemiological Methods for Examining Bullying

by Martinez, Kaitlyn Michelle

Abstract

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.

Note

The author has given permission for this work to be deposited in the Digital Archive of Colorado College.

Colorado College Honor Code upheld.

Includes bibliographical references.

Administrative Notes

The author has given permission for this work to be deposited in the Digital Archive of Colorado College.

Colorado College Honor Code upheld.

Copyright
Copyright restrictions apply.
Publisher
Colorado College
PID
coccc:11127
Digital Origin
born digital
Extent
27 pages : illustrations
Thesis
Senior Thesis -- Colorado College
Thesis Advisor
Bruder, Andrea
Department/Program
Math and Computer Science
Degree Name
Bachelor of Arts
Degree Type
bachelor
Degree Grantor
Colorado College
Date Issued
2015-05