Steady State Solutions for a System of Partial Differential Equations Arising from Crime Modeling

Author

Bo Li, Harvey Mudd CollegeFollow

Graduation Year

2016

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Science

Department

Mathematics

Reader 1

Alfonso Castro

Reader 2

Ivan Ventura

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2017 Bo Li

Abstract

I consider a model for the control of criminality in cities. The model was developed during my REU at UCLA. The model is a system of partial differential equations that simulates the behavior of criminals and where they may accumulate, hot spots. I have proved a prior bounds for the partial differential equations in both one-dimensional and higher dimensional case, which proves the attractiveness and density of criminals in the given area will not be unlimitedly high. In addition, I have found some local bifurcation points in the model.

Recommended Citation

Li, Bo, "Steady State Solutions for a System of Partial Differential Equations Arising from Crime Modeling" (2016). HMC Senior Theses. 78.
https://scholarship.claremont.edu/hmc_theses/78