Bifurcations in a Model of Criminal Organizations and a Corrupt Judiciary
Tipo
Artigo
Data de publicação
2024
Periódico
Entropy
Citações (Scopus)
0
Autores
Harari G.S.
Monteiro L.H.A.
Monteiro L.H.A.
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Resumo
© 2024 by the authors.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.