A compartmental modeling of crime influenced by drug consumption
Abstract
This article proposes a discrete compartmental model to analyze the influence of drug consumption on crime dynamics and to assess the effectiveness of different intervention strategies. The population is divided into five categories: susceptible individuals, drug users, active criminals, prisoners, and rehabilitated individuals. Three control functions are introduced: rehabilitation of drug users, social reintegration of rehabilitated individuals, and awareness campaigns. Based on optimal control theory and Pontryagin’s maximum principle, the necessary conditions for identifying optimal strategies are established. Numerical simulations carried out using MATLAB complement the theoretical analysis and illustrate the behavior of the system with and without intervention.
- Published
- 20 November 2025
- Volume
- 2025 (2025)
- License
- CC BY 3.0
Copyright © 2025 Hamza Boutayeb, Saida Khiyar, Mohamed Hafdane, Imane Elberrai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
H. Boutayeb, S. Khiyar, M. Hafdane, I. Elberrai, A compartmental modeling of crime influenced by drug consumption, Commun. Math. Biol. Neurosci. 2025 (2025), 137. https://doi.org/10.28919/cmbn/9597
BibTeX
@article{Boutayeb2025,
author = {Boutayeb, Hamza and Khiyar, Saida and Hafdane, Mohamed and Elberrai, Imane},
title = {A compartmental modeling of crime influenced by drug consumption},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2025},
year = {2025},
pages = {137},
doi = {10.28919/cmbn/9597}
}