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Bo Li

Picture of Bo Li.

Thesis

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

Advisor
Alfonso Castro
Second Reader(s)
Ivan Ventura

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.

Additional Materials

Poster