Mathematical home burglary model with stochastic long crime trips and patrolling: Applied to Mexico City

Bi-dimensional crime model based on anomalous diffusion with law enforcement effect

“…For example, this result has particular interest for modeling metropolitan areas where attractiveness does not manifest homogeneous space of small hotspots distribution. Still, instead, a few hotspots rise, as is usually the case with city centers, as shown in [21]. In the case of s ≈ 1 were recovered Laplacian diffusion results.…”

“…That study is carried out in one dimension for discrete and continuous cases; it also incorporates police effects on the criminal's attractiveness perception. S. Crúz-García et al [21] propose an alternative method to Lévy flights, applying stochastic interference to the Jones et al model [4], which contemplates large jumps from a small set of criminal agents at each time step. S. Crúz also found that if police presence is increased numerically in central hotspots, they will fragment into smaller areas.…”

Análisis de densidad kernel en la zonificación de la percepción de miedo al delito

“…El miedo al delito tiene implicaciones en la forma de entender y responder a los crímenes (Ambey et al, 2014). Las personas experimentan tales situaciones de manera indirecta a través de los medios de comunicación y sus círculos sociales (Kim y Kang, 2018), lo que lleva a un creciente temor a ser víctima de la criminalidad por delitos comunes (Cruz-García et al, 2021).…”