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

机译:犯罪和受害动态的非线性分析:一种案例生成和转发的数学模型

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摘要

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.
机译:本文介绍了确定性模型的系统,用于犯罪分子互动关系的动态分析,以及在两个可区分形式的康复下的受害 - 犯罪分子的行为改革和受害者的情感心理治疗。获得阈值,R0 = MAXRK,RV,负责犯罪/犯罪和受害的持久性,并使用它,在模型上进行稳定性分析。有效实施两种形式的康复的影响是对犯罪和犯罪的重要性,而观察到同样的无效的实施情况有不利的结果。预防重复受害者被认为是含有比受害者非义的犯罪更具可行的选择。此外,通过戒烟或死亡,还发现犯罪分子的删除也被发现具有巨大的积极影响。对各种混合的刑事方案进行了数值模拟,以验证获得的分析结果。

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