How Mathematics Can Stop Crime

Authors

Presenter(s)

William T Shovelton

Files

Description

The Susceptible, Infected, and Recovered (SIR) Mathematical Model is widely used to study infectious diseases. Such models are also used to study predator-prey interactions, alcohol abuse, and social networks. Here, we will study a variation of SIR model for the interaction of police and gangs. In this work, we apply numerical techniques to simulate the solution of the model, which is a system of coupled ordinary differential equations. We compare the solution using various numerical techniques such as Euler’s Method, Runge-Kutta Methods, and Nonstandard Finite Difference Method.

Publication Date

4-5-2017

Project Designation

Honors Thesis - Undergraduate

Primary Advisor

Muhammad Usman

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project

Recommended Citation

"How Mathematics Can Stop Crime" (2017). Stander Symposium Projects. 1063.
https://ecommons.udayton.edu/stander_posters/1063