On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime
Published 2021 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime
Authors
Keywords
-
Journal
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
Volume -, Issue -, Pages 1-41
Publisher
Cambridge University Press (CUP)
Online
2021-11-02
DOI
10.1017/s0956792521000279
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- Global well-posedness of logarithmic Keller-Segel type systems
- (2021) Jaewook Ahn et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Global well-posedness and uniform boundedness of urban crime models: One-dimensional case
- (2020) Qi Wang et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation
- (2020) Nancy Rodríguez et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
- (2018) Elio Espejo et al. NONLINEARITY
- A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization
- (2018) Michael Winkler JOURNAL OF FUNCTIONAL ANALYSIS
- A generalized solution concept for the Keller–Segel system with logarithmic sensitivity: global solvability for large nonradial data
- (2017) Johannes Lankeit et al. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
- Exploring the effects of social preference, economic disparity, and heterogeneous environments on segregation
- (2016) Nancy Rodríguez et al. Communications in Mathematical Sciences
- Stationary patterns and their selection mechanism of urban crime models with heterogeneous near-repeat victimization effect
- (2016) YU GU et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Hotspot formation and dynamics for a continuum model of urban crime
- (2015) W. H. TSE et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
- (2015) Johannes Lankeit MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- (2015) N. Bellomo et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Statistical physics of crime: A review
- (2015) Maria R. D'Orsogna et al. Physics of Life Reviews
- The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime
- (2014) Juncheng Wei et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
- Cops on the dots in a mathematical model of urban crime and police response
- (2014) Joseph R. Zipkin et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
- Modeling the Underlying Dynamics of the Spread of Crime
- (2014) David McMillon et al. PLoS One
- Existence of Symmetric and Asymmetric Spikes for a Crime Hotspot Model
- (2014) Henri Berestycki et al. SIAM JOURNAL ON MATHEMATICAL ANALYSIS
- Stabilization in a two-dimensional chemotaxis-Navier–Stokes system
- (2013) Michael Winkler ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
- Finite-time blow-up in the higher-dimensional parabolic–parabolic Keller–Segel system
- (2013) Michael Winkler JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
- Traveling Wave Solutions in a Reaction-Diffusion Model for Criminal Activity
- (2013) H. Berestycki et al. MULTISCALE MODELING & SIMULATION
- Crime Modeling with Lévy Flights
- (2013) Sorathan Chaturapruek et al. SIAM JOURNAL ON APPLIED MATHEMATICS
- Adaptation of an ecological territorial model to street gang spatial patterns in Los Angeles
- (2012) Laura M. Smith et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Global existence of solutions for a chemotaxis-type system arising in crime modelling
- (2012) RAÚL MANÁSEVICH et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL
- (2012) THOMAS HILLEN et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Territorial developments based on graffiti: A statistical mechanics approach
- (2012) Alethea B.T. Barbaro et al. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
- On the global well-posedness theory for a class of PDE models for criminal activity
- (2012) N. Rodríguez PHYSICA D-NONLINEAR PHENOMENA
- Global Bifurcation of Solutions for Crime Modeling Equations
- (2012) Robert Stephen Cantrell et al. SIAM JOURNAL ON MATHEMATICAL ANALYSIS
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- (2011) Youshan Tao et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- (2011) Youshan Tao JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Self-organised critical hot spots of criminal activity
- (2010) H. BERESTYCKI et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model
- (2010) Michael Winkler JOURNAL OF DIFFERENTIAL EQUATIONS
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- (2010) Michael Winkler MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- STATISTICAL MODELS OF CRIMINAL BEHAVIOR: THE EFFECTS OF LAW ENFORCEMENT ACTIONS
- (2010) PAUL A. JONES et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- LOCAL EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PDE MODEL FOR CRIMINAL BEHAVIOR
- (2010) NANCY RODRIGUEZ et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
- (2010) Michael Winkler MATHEMATISCHE NACHRICHTEN
- Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
- (2010) M. B. Short et al. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- A mathematical model of a criminal-prone society
- (2010) Juan Nuño et al. Discrete and Continuous Dynamical Systems-Series S
- A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
- (2008) M. B. SHORT et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationAsk a Question. Answer a Question.
Quickly pose questions to the entire community. Debate answers and get clarity on the most important issues facing researchers.
Get Started