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A mathematical model for the treatment of delinquent behaviour

Author

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  • Sooknanan, J.
  • Comissiong, D.M.G.

Abstract

A key predictor variable for juvenile delinquency is the presence of delinquent peers. Consequently, delinquent behaviour may be treated as a socially infectious disease spread by peer influence and its spread modelled using a compartmental model from mathematical epidemiology. A Public Health Approach was used to design the model and this system was found to have three equilibrium states – two with no serious delinquents (non-status offenders) and one with both serious delinquents and status offenders coexisting. We employed a sensitivity analysis on the basic Reproductive number R0, and identified the parameters that should be targeted by treatment strategies to curb the spread of juvenile delinquency. This model may be used by policy makers to provide insights to inform policy creation as well as to set tangible targets for the proportion of delinquents treated and the detention rate.

Suggested Citation

  • Sooknanan, J. & Comissiong, D.M.G., 2018. "A mathematical model for the treatment of delinquent behaviour," Socio-Economic Planning Sciences, Elsevier, vol. 63(C), pages 60-69.
    • Handle: RePEc:eee:soceps:v:63:y:2018:i:c:p:60-69
    DOI: 10.1016/j.seps.2017.08.001
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    Cited by:

    1. Santoprete, Manuele, 2019. "Countering violent extremism: A mathematical model," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 314-329.
    2. Sooknanan, Joanna & Seemungal, Terence A.R., 2023. "Criminals and their models - a review of epidemiological models describing criminal behaviour," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    3. Aliyu, Major Murtala Bello & Baidu, Ali Audu & Abdulhamid, Bala Ma’aji & Ibrahim, Mohammed Olanrewaju & Mukhtar, Fu’ad Muhammad, 2023. "Assessing the impact of escalating attacks on soft targets by criminal gang: A modelling viewpoint using bifurcation analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 122-137.

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