Global well‐posedness and uniform boundedness of a higher dimensional crime model with a logistic source term

DOI10.1002/mma.8066zbMath1529.35005OpenAlexW4206553715MaRDI QIDQ6141510

Yani Feng, Deqi Wang

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8066

zbMATH Keywords

energy functionalintegral inequalitycrime modelglobal uniform boundedness

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

On a crime model in higher-dimensional setting: global generalized solvability and eventual smoothness ⋮ Eventual smoothness of generalized solutions to a singular chemotaxis system for urban crime in space dimension 2 ⋮ A chemotaxis system with singular sensitivity for burglaries in the higher-dimensional settings: generalized solvability and long-time behavior

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity
• Boundedness in a fully parabolic chemotaxis system with singular sensitivity
• Exponential attractor for a chemotaxis-growth system of equations
• Initiation of slime mold aggregation viewed as an instability
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• Singular limit of a degenerate chemotaxis-Fisher equation
• 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
• Boundedness in a fully parabolic chemotaxis system with strongly singular sensitivity
• On the global well-posedness theory for a class of PDE models for criminal activity
• Boundedness vs. blow-up in a chemotaxis system
• A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
• Global existence of solutions for a chemotaxis-type system arising in crime modelling
• Crime Modeling with Lévy Flights
• Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
• Global solutions in a fully parabolic chemotaxis system with singular sensitivity
• LOCAL EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PDE MODEL FOR CRIMINAL BEHAVIOR
• Global boundedness in a fully parabolic attraction–repulsion chemotaxis model
• A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
• Global solutions to a higher‐dimensional system related to crime modeling
• Boundedness in a fully parabolic chemotaxis‐consumption system with nonlinear diffusion and sensitivity, and logistic source
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops

This page was built for publication: Global well‐posedness and uniform boundedness of a higher dimensional crime model with a logistic source term