3 papers
math.DS2026
Crime hotspot dynamics in residential burglary models with police response
Baoli Hao, Kamrun Mily, Annalisa Quaini +1
We develop and analyze mathematical models for residential burglary that incorporates police deployment through a delayed feedback mechanism. Motivated by empirical observations fr…
math.NA2025
A finite element framework for simulating residential burglary in realistic urban geometries
Baoli Hao, Kamrun Mily, Annalisa Quaini +1
We consider a partial differential equation (PDE) model to predict residential burglary derived from a probabilistic agent-based model through a mean-field limit operation. The PDE…
math.NA2024
Data driven learning to enhance a kinetic model of distressed crowd dynamics
Daewa Kim, Demetrio Labate, Kamrun Mily +1
The mathematical modeling of crowds is complicated by the fact that crowds possess the behavioral ability to develop and adapt moving strategies in response to the context. For exa…