Crime PDE
نویسندگان
چکیده
The evolution in space and time of crime risk and criminal density is modeled by a coupled system of partial differential equations, and solved with a semi-implicit method using finite differences. Under appropriate conditions, isolated stationary hot spots of high criminal activity form.
منابع مشابه
Hotspot Formation and Dynamics for a Continuum Model of Urban Crime
The existence, stability, and dynamics of localized patterns of criminal activity are studied for the reaction-diffusion model of urban crime introduced by Short et. al. [Math. Models. Meth. Appl. Sci., 18, Suppl. (2008), pp. 1249–1267]. In the singularly perturbed limit of small diffusivity ratio, this model admits hotspot patterns, where criminal activity of high amplitude is localized within...
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