Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and Forwarding

Autor: Chikodili Helen Ugwuishiwu, D. S. Sarki, G. C. E. Mbah
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2019 (2019)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2019/9891503
Popis: In this paper, a system of deterministic model is presented for the dynamical analysis of the interactional consequence of criminals and criminality on victimisation under two distinguishable forms of rehabilitation—the behavioural reformation of criminals and the emotional psychotherapy of victims. A threshold value, R0=maxRK,RV, responsible for the persistence of crime/criminality and victimisation, is obtained and, using it, stability analyses on the model performed. The impact of an effective implementation of the two forms of rehabilitation was found to be substantial on crime and criminality, while an ineffective implementation of same was observed to have a detrimental consequence. The prevention of repeat victimisation was seen to present a more viable option for containing crime than the noncriminalisation of victims. Further, the removal of criminals, either through quitting or death, among others, was also found to have a huge positive impact. Numerical simulations were performed for a variety of mixing criminal scenarios to verify the analytical results obtained.
Databáze: Directory of Open Access Journals
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