Understanding the Effects of On- and Off-Hotspot Policing: Evidence of Hotspot, Oscillating, and Chaotic Activities
From MaRDI portal
Publication:5860630
DOI10.1137/20M1359572zbMath1478.35129OpenAlexW3206352307MaRDI QIDQ5860630
Qi Wang, Lu Zhang, Nancy Y. Rodriguez
Publication date: 22 November 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1359572
Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Pattern formation of the attraction-repulsion Keller-Segel system
- On a chemotaxis model with saturated chemotactic flux
- Qualitative analysis of a Lotka-Volterra competition system with advection
- 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
- Stationary and time-periodic patterns of two-predator and one-prey systems with prey-taxis
- Nonconstant positive steady states and pattern formation of 1D prey-taxis systems
- Spatio-temporal chaos in a chemotaxis model
- Model for chemotaxis
- A user's guide to PDE models for chemotaxis
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Geometric theory of semilinear parabolic equations
- Stability of bifurcating time-periodic and steady solutions of arbitrary amplitude
- The Hopf bifurcation theorem in infinite dimensions
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Spatial pattern formation in a chemotaxis-diffusion-growth model
- Generalized solutions for a system of partial differential equations arising from urban crime modeling with a logistic source term
- Global well-posedness and uniform boundedness of urban crime models: one-dimensional case
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation
- Solvability of a nonlinear Neumann problem for systems arising from a burglary model
- Time-periodic and stable patterns of a two-competing-species Keller-Segel chemotaxis model: effect of cellular growth
- On localised hotspots of an urban crime model
- On the global well-posedness theory for a class of PDE models for criminal activity
- Existence of solutions for a 1-D boundary value problem coming from a model for burglary
- Global existence and steady states of a two competing species Keller-Segel chemotaxis model
- Bifurcation from simple eigenvalues
- Bifurcating time periodic solutions and their stability
- Pattern Formation in Keller–Segel Chemotaxis Models with Logistic Growth
- Global existence of solutions for a chemotaxis-type system arising in crime modelling
- Crime Modeling with Lévy Flights
- Geographic Profiling from Kinetic Models of Criminal Behavior
- Global Bifurcation of Solutions for Crime Modeling Equations
- On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems
- STATISTICAL MODELS OF CRIMINAL BEHAVIOR: THE EFFECTS OF LAW ENFORCEMENT ACTIONS
- LOCAL EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PDE MODEL FOR CRIMINAL BEHAVIOR
- The existence and stability of spike solutions for a chemotax is system modeling crime pattern formation
- A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
- Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
- Self-organised critical hot spots of criminal activity
- Adding police to a mathematical model of burglary
- Spatiotemporal chaos in terms of unstable recurrent patterns
- Global solutions to a higher‐dimensional system related to crime modeling
- An Age-Structured Population Approach for the Mathematical Modeling of Urban Burglaries
- Exploring data assimilation and forecasting issues for an urban crime model
- Hotspot formation and dynamics for a continuum model of urban crime
- Stationary patterns and their selection mechanism of urban crime models with heterogeneous near-repeat victimization effect
- Crime modeling with truncated Lévy flights for residential burglary models
- Asynchronous Instabilities of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime with Focused Police Patrol
- Cops-on-the-dots: The linear stability of crime hotspots for a 1-D reaction-diffusion model of urban crime
- Traveling Wave Solutions in a Reaction-Diffusion Model for Criminal Activity
- Existence of Symmetric and Asymmetric Spikes for a Crime Hotspot Model
- Spatio-temporal oscillations in the Keller–Segel system with logistic growth
This page was built for publication: Understanding the Effects of On- and Off-Hotspot Policing: Evidence of Hotspot, Oscillating, and Chaotic Activities
