Work

Global well-posedness and uniform boundedness of 2D urban crime models with nonlinear advection enhancement

Year: 2024

Type: article

Abstract: We study the global well-posedness and uniform boundedness of a two-dimensional reaction–advection–diffusion system with nonlinear advection. This strongly coupled system of nonlinear partial differential equations represents the continuum of a 2D lattice model designed to describe residential burglary, where each location is characterised by a tractability value that varies in both space and time. We show that the model with sublinear advection enhancement is globally well-posed, with a unique solution that is classical and uniformly bounded in time. Our results provide valuable insights into the development of urban crime models with nonlinear advection enhancements, making them suitable for broader applications, including nonlocal or heterogeneous near-repeat victimisation effects.

Source: European Journal of Applied Mathematics

DOI: 10.1017/s0956792524000792

Authors: Wenjing Jiang, Qi Wang

Institution: Southwestern University of Finance and Economics

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $3,450

Funder: Southwestern University of Finance and Economics