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Optimal control model for criminal gang population in a limited-resource setting

In this present paper, the principles of optimal control theory is applied to a non-linear mathematical model for the population dynamics of criminal gangs with variability in the sub-population. To decrease (minimize) the progression rate of susceptible populations with no access to crime preventio...

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Autores principales: Ibrahim, Oluwasegun M., Okuonghae, Daniel, Ikhile, Monday N. O.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9274643/
https://www.ncbi.nlm.nih.gov/pubmed/35845845
http://dx.doi.org/10.1007/s40435-022-00992-8
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author Ibrahim, Oluwasegun M.
Okuonghae, Daniel
Ikhile, Monday N. O.
author_facet Ibrahim, Oluwasegun M.
Okuonghae, Daniel
Ikhile, Monday N. O.
author_sort Ibrahim, Oluwasegun M.
collection PubMed
description In this present paper, the principles of optimal control theory is applied to a non-linear mathematical model for the population dynamics of criminal gangs with variability in the sub-population. To decrease (minimize) the progression rate of susceptible populations with no access to crime prevention programs from joining criminal gangs and increase (maximize) the rate of arrested and prosecution of criminals, we incorporate time-dependent control functions. These two functions represent the crime prevention strategy for the susceptible population and case finding control for the criminal gang population, in a limited-resource setting. Furthermore, we present a cost-effectiveness analysis for crime control intervention-related benefits to ascertain the most cost-effective and efficient optimal control strategy. The optimal control functions presented herein are solved by employing the Runge-Kutta Method of order four. Numerical results are demonstrated for different scenarios to exemplify the impact of the controls on the criminal gangs’ population.
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spelling pubmed-92746432022-07-12 Optimal control model for criminal gang population in a limited-resource setting Ibrahim, Oluwasegun M. Okuonghae, Daniel Ikhile, Monday N. O. Int J Dyn Control Article In this present paper, the principles of optimal control theory is applied to a non-linear mathematical model for the population dynamics of criminal gangs with variability in the sub-population. To decrease (minimize) the progression rate of susceptible populations with no access to crime prevention programs from joining criminal gangs and increase (maximize) the rate of arrested and prosecution of criminals, we incorporate time-dependent control functions. These two functions represent the crime prevention strategy for the susceptible population and case finding control for the criminal gang population, in a limited-resource setting. Furthermore, we present a cost-effectiveness analysis for crime control intervention-related benefits to ascertain the most cost-effective and efficient optimal control strategy. The optimal control functions presented herein are solved by employing the Runge-Kutta Method of order four. Numerical results are demonstrated for different scenarios to exemplify the impact of the controls on the criminal gangs’ population. Springer Berlin Heidelberg 2022-07-10 2023 /pmc/articles/PMC9274643/ /pubmed/35845845 http://dx.doi.org/10.1007/s40435-022-00992-8 Text en © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Ibrahim, Oluwasegun M.
Okuonghae, Daniel
Ikhile, Monday N. O.
Optimal control model for criminal gang population in a limited-resource setting
title Optimal control model for criminal gang population in a limited-resource setting
title_full Optimal control model for criminal gang population in a limited-resource setting
title_fullStr Optimal control model for criminal gang population in a limited-resource setting
title_full_unstemmed Optimal control model for criminal gang population in a limited-resource setting
title_short Optimal control model for criminal gang population in a limited-resource setting
title_sort optimal control model for criminal gang population in a limited-resource setting
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9274643/
https://www.ncbi.nlm.nih.gov/pubmed/35845845
http://dx.doi.org/10.1007/s40435-022-00992-8
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