A Continuum Model of Residential Burglary Incorporating Law Enforcement

In 2008, Short et. al. introduced an agent based model of residential burglary founded on the principle of repeat and near-repeat victimization [1]. The model has a natural continuum limit, giving rise to a system of nonlinear PDE. Later, Jones et. al. explored methods of incorporating law enforcement into this model [2]. Here, we expand the work of Jones et. al. by exploring more fully the continuum limit in the presence of police. We propose a variety of policing strategies, two metrics by which to measure their effectiveness, and run numerical simulations of the resulting PDE in order to compare strategies.