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Bi-dimensional crime model based on anomalous diffusion with law enforcement effect
ISSN: 2791 - 8564
Publisher: author
Bi-dimensional crime model based on anomalous diffusion with law enforcement effect
Indexed in
Mathematics and Statistics
ARTICLE-FACTOR
1.3
Article Basics Score: 2
Article Transparency Score: 2
Article Operation Score: 3
Article Articles Score: 3
Article Accessibility Score: 2
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International Category Code (ICC):
ICC-1102
Publisher: Mehmet Yavuz
International Journal Address (IAA):
IAA.ZONE/2791123928564
eISSN
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2791 - 8564
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Abstract
Several models based on discrete and continuous fields have been proposed to comprehend residential criminal dynamics. This study introduces a two-dimensional model to describe residential burglaries diffusion, employing Lèvy flights dynamics. A continuous model is presented, introducing bidimensional fractional operator diffusion and its differences with the 1-dimensional case. Our results show, graphically, the hotspot's existence solution in a 2-dimensional attractiveness field, even fractional derivative order is modified. We also provide qualitative evidence that steady-state approximation in one dimension by series expansion is insufficient to capture similar original system behavior. At least for the case where series coefficients have a linear relationship with derivative order. Our results show, graphically, the hotspot's existence solution in a 2-dimensional attractiveness field, even if fractional derivative order is modifi...
