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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2022
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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. |
format | Online Article Text |
id | pubmed-9274643 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
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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