Open Access Senior Thesis
Bachelor of Science
© 2017 Bo Li
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.
Li, Bo, "Steady State Solutions for a System of Partial Differential Equations Arising from Crime Modeling" (2016). HMC Senior Theses. 78.