Spatial modeling of crime dynamics: Patch and reaction–diffusion compartmental systems
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Spatial modeling of crime dynamics: Patch and reaction–diffusion compartmental systemsFecha de publicación
2023Editor
WileyCita bibliográfica
CALATAYUD, Julia; JORNET, Marc; MATEU, Jorge. Spatial modeling of crime dynamics: Patch and reaction–diffusion compartmental systems. Mathematical Methods in the Applied Sciences, 2023.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://onlinelibrary.wiley.com/doi/full/10.1002/mma.9064Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We study the dynamics of abstract models for crime evolution. The population is
divided into three compartments, taking into account the participation in crime
and incarceration. Individuals transit between the three ... [+]
We study the dynamics of abstract models for crime evolution. The population is
divided into three compartments, taking into account the participation in crime
and incarceration. Individuals transit between the three segments, assuming
that having more contact with criminally active people increases one's risk of
learning and acquiring the same traits; essentially, crime is regarded as a social
epidemic. In the literature, there are several models of this type, based on spatial
homogeneity and ordinary differential equations. However, these ideas have not
been extended to account for spatial variability. Here, we achieve this target with
discrete and continuous forms of space: patch and reaction–diffusion compartmental systems, respectively. We build the models and focus on the effect of the
basic reproduction number on the long-term dynamics of crime (persistence or
disappearance). Several theoretical results are presented, which are supported
by numerical simulations. [-]
Publicado en
Mathematical Methods in the Applied Sciences, 2023.Entidad financiadora
Universitat Jaume I | Ministerio de Ciencia | Generalitat Valenciana
Código del proyecto o subvención
POSDOC/2021/02 | PID2019-107392RB-I00 | AICO/2019/198
Derechos de acceso
info:eu-repo/semantics/openAccess
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© 2023 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons, Ltd.