Work

Bifurcations in a Model of Criminal Organizations and a Corrupt Judiciary

Year: 2024

Type: article

Abstract: Let a population be composed of members of a criminal organization and judges of the judicial system, in which the judges can be co-opted by this organization. In this article, a model written as a set of four nonlinear differential equations is proposed to investigate this population dynamics. The impact of the rate constants related to judges' co-optation and ex-convicts' recidivism on the population composition is explicitly examined. This analysis reveals that the proposed model can experience backward and transcritical bifurcations. Also, if all ex-convicts relapse, organized crime cannot be eradicated even in the absence of corrupt judges. The results analytically derived here are illustrated by numerical simulations and discussed from a crime-control perspective.

Source: Entropy

DOI: 10.3390/e26110906

Authors: G. S. Harari, L. H. A. Monteiro

Institutions: Universidade Presbiteriana Mackenzie, Universidade de São Paulo

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Peace, justice, and strong institutions

Open Access status: gold

Estimated APC paid: $2,955