The nucleation-annihilation dynamics of hotspot patterns for a reaction-diffusion system of urban crime with police deployment
DOI10.1137/23m1562330zbMATH Open1546.35236MaRDI QIDQ6598408
Publication date: 5 September 2024
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
matched asymptotic expansionsHopf bifurcationnucleationnonlocal eigenvalue problemurban crimehotspot patterns
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Asymptotic expansions of solutions to PDEs (35C20) Models of societies, social and urban evolution (91D10) Computational methods for problems pertaining to game theory, economics, and finance (91-08) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical quadrature and cubature formulas (65D32) Bifurcations in context of PDEs (35B32) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Pattern formations in context of PDEs (35B36)
Cites Work
- Merging-emerging systems can describe spatio-temporal patterning in a chemotaxis model
- 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
- Spatio-temporal chaos in a chemotaxis model
- On localised hotspots of an urban crime model
- On the global well-posedness theory for a class of PDE models for criminal activity
- Self-replication of mesa patterns in reaction-diffusion systems
- Breathing pulses in singularly perturbed reaction-diffusion 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
- A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
- Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
- Adding police to a mathematical model of burglary
- Modelling policing strategies for departments with limited resources
- 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
- 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
- Hopf bifurcation from spike solutions for the weak coupling Gierer–Meinhardt system
- On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime
- Competition instabilities of spike patterns for the 1D Gierer–Meinhardt and Schnakenberg models are subcritical
- Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications
- Numerical Continuation and Bifurcation in Nonlinear PDEs
- Existence of Symmetric and Asymmetric Spikes for a Crime Hotspot Model
- Understanding the Effects of On- and Off-Hotspot Policing: Evidence of Hotspot, Oscillating, and Chaotic Activities
- Arbitrarily weak head-on collision can induce annihilation: the role of hidden instabilities
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