Abstract
This report presents a mathematical model of juvenile delinquency in the New York State. In particular, we develop a juvenile delinquency system of non-linear differential equations using the mathematical epidemiology framework. In constructing this model, we assume that juvenile delinquency can be studied as a socially infectious disease. The stability of the juvenile delinquency-free equilibrium of the model is examined using the standard non-linear dynamical systems theory technique. We carried out a data fitting based on real-life data from the New York State Criminal Justice Services. The research result reveals that the formulated model conforms with the available data and could be useful for major future projections during policy formation for the juvenile population.
Publication Date
2023
Document Type
Technical Report
Department, Program, or Center
School of Mathematical Sciences (COS)
Recommended Citation
Ibrahim, O. M. (2023). A Mathematical Model of Juvenile Delinquency in the New York State. In K. Maki (Eds.), Mathematical Modeling Research. Rochester Institute of Technology.
Campus
RIT – Main Campus
Included in
Education Commons, Law Commons, Medicine and Health Sciences Commons, Physical Sciences and Mathematics Commons, Social and Behavioral Sciences Commons
