Crime modeling with truncated Lévy flights for residential burglary models
From MaRDI portal
Publication:4630565
DOI10.1142/S0218202518400080zbMath1411.35295arXiv1601.03415MaRDI QIDQ4630565
Chaohao Pan, Bo Li, Chuntian Wang, Nathan Geldner, Li Wang, Yuqi Zhang, Andrea L. Bertozzi
Publication date: 27 March 2019
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.03415
Sums of independent random variables; random walks (60G50) PDEs with randomness, stochastic partial differential equations (35R60) Fokker-Planck equations (35Q84)
Related Items (14)
A stochastic-statistical residential burglary model with independent Poisson clocks ⋮ Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation ⋮ Global well-posedness and uniform boundedness of urban crime models: one-dimensional case ⋮ The Lévy flight foraging hypothesis: comparison between stationary distributions and anomalous diffusion * ⋮ Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities ⋮ Global large-data generalized solutions to a two-dimensional chemotaxis system stemming from crime modelling ⋮ Global classical solvability and asymptotic behaviors of a parabolic-elliptic chemotaxis-type system modeling crime activities ⋮ A chemotaxis system with singular sensitivity for burglaries in the higher-dimensional settings: generalized solvability and long-time behavior ⋮ Challenges in active particles methods: Theory and applications ⋮ Mathematical home burglary model with stochastic long crime trips and patrolling: applied to Mexico City ⋮ Recent results and challenges in behavioral systems ⋮ Qualitative features of a nonlinear, nonlocal, agent-based PDE model with applications to homelessness ⋮ The existence and stability of spike solutions for a chemotax is system modeling crime pattern formation ⋮ Understanding the Effects of On- and Off-Hotspot Policing: Evidence of Hotspot, Oscillating, and Chaotic Activities
Cites Work
- Unnamed Item
- From a systems theory of sociology to modeling the onset and evolution of criminality
- Cops on the dots in a mathematical model of urban crime and police response
- The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime
- Gang rivalry dynamics via coupled point process networks
- The effects of sacred value networks within an evolutionary, adversarial game
- Self-organized populations interacting under pursuit-evasion dynamics
- On localised hotspots of an urban crime model
- On the global well-posedness theory for a class of PDE models for criminal activity
- Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics
- Crime Modeling with Lévy Flights
- STATISTICAL MODELS OF CRIMINAL BEHAVIOR: THE EFFECTS OF LAW ENFORCEMENT ACTIONS
- LOCAL EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PDE MODEL FOR CRIMINAL BEHAVIOR
- FINANCIAL MODELING AND OPTION THEORY WITH THE TRUNCATED LEVY PROCESS
- A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
- Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
- Adding police to a mathematical model of burglary
- Stochastic Process with Ultraslow Convergence to a Gaussian: The Truncated Lévy Flight
- Hotspot formation and dynamics for a continuum model of urban crime
- Self-Exciting Point Process Modeling of Crime
- Traveling Wave Solutions in a Reaction-Diffusion Model for Criminal Activity
- Truncated Lévy walks and an emerging market economic index
This page was built for publication: Crime modeling with truncated Lévy flights for residential burglary models