Global well-posedness of logarithmic Keller-Segel type systems

Global bounded solutions to a Keller–Segel system with singular sensitivity

(2020) Qingshan Zhang   APPLIED MATHEMATICS LETTERS

Global well-posedness and uniform boundedness of urban crime models: One-dimensional case

(2020) Qi Wang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation

(2019) Michael Winkler   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Mathematical analysis of a continuous version of statistical model for criminal behavior

(2019) Jieqiong Shen et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Eventual smoothness and stabilization of global weak solutions in parabolic–elliptic chemotaxis systems with logarithmic sensitivity

(2019) Jaewook Ahn et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Global solutions to a higher-dimensional system related to crime modeling

(2018) Marcel Freitag   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Stabilization in the logarithmic Keller–Segel system

(2018) Michael Winkler et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system

(2018) Kentarou Fujie et al.   NONLINEARITY

Global well-posedness and asymptotic stabilization for chemotaxis system with signal-dependent sensitivity

(2018) Jaewook Ahn   JOURNAL OF DIFFERENTIAL EQUATIONS

A unified method for boundedness in fully parabolic chemotaxis systems with signal-dependent sensitivity

(2017) Masaaki Mizukami et al.   MATHEMATISCHE NACHRICHTEN

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

Boundedness in a fully parabolic chemotaxis system with singular sensitivity

(2015) Kentarou Fujie   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity

(2015) Johannes Lankeit   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening

(2014) Michael Winkler   JOURNAL OF DIFFERENTIAL EQUATIONS

Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity

(2014) Kentarou Fujie et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

On the global well-posedness theory for a class of PDE models for criminal activity

(2012) N. Rodríguez   PHYSICA D-NONLINEAR PHENOMENA

Global solutions in a fully parabolic chemotaxis system with singular sensitivity

(2010) Michael Winkler   MATHEMATICAL METHODS IN THE 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

Dissipation and displacement of hotspots in reaction-diffusion models of crime

(2010) M. B. Short et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression

(2010) M. B. Short et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

A STATISTICAL MODEL OF CRIMINAL BEHAVIOR

(2008) M. B. SHORT et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES