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 systemsData de publicació
2023Editor
WileyCita bibliogràfica
CALATAYUD, Julia; JORNET, Marc; MATEU, Jorge. Spatial modeling of crime dynamics: Patch and reaction–diffusion compartmental systems. Mathematical Methods in the Applied Sciences, 2023.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://onlinelibrary.wiley.com/doi/full/10.1002/mma.9064Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Mathematical Methods in the Applied Sciences, 2023.Entitat finançadora
Universitat Jaume I | Ministerio de Ciencia | Generalitat Valenciana
Codi del projecte o subvenció
POSDOC/2021/02 | PID2019-107392RB-I00 | AICO/2019/198
Drets d'accés
info:eu-repo/semantics/openAccess
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- MAT_Articles [766]
Except where otherwise noted, this item's license is described as This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the
original work is properly cited.
© 2023 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons, Ltd.