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2019 Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and Forwarding
Chikodili Helen Ugwuishiwu, D. S. Sarki, G. C. E. Mbah
J. Appl. Math. 2019: 1-17 (2019). DOI: 10.1155/2019/9891503

Abstract

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, R 0 = m a x R K , R V , 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.

Citation

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Chikodili Helen Ugwuishiwu. D. S. Sarki. G. C. E. Mbah. "Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and Forwarding." J. Appl. Math. 2019 1 - 17, 2019. https://doi.org/10.1155/2019/9891503

Information

Received: 11 June 2019; Accepted: 11 August 2019; Published: 2019
First available in Project Euclid: 23 May 2020

zbMATH: 07165632
MathSciNet: MR4047610
Digital Object Identifier: 10.1155/2019/9891503

Rights: Copyright © 2019 Hindawi

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