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The dynamics of prisoner population model in Indonesia with a rehabilitation regulation for drug users to overcome prison overcapacity issue

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2023) · hlm. 55–62

DOI
10.34312/jjbm.v4i1.18898
ISSN
2723-0317
Terbit
2023-06-27
Penerbit
Department of Mathematics, Universitas Negeri Gorontalo
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

This paper discusses about a mathematical model of the prisoner population with a new regulation regarding punishments to the drug users in an effort to overcome the prison overcapacity issue in Indonesia. This new regulation is launched by the Indonesia government after a fact about overcapacity of prison in Indonesia is revealed through a fire incident in a prison on 8 September 2021 that causes 41 people died and a number of people were injured. Besides, prisons in Indonesia are mostly occupied by the drug user. The model is constructed by using a compartmental model approach. The stability analysis of the equilibrium points is carried out along with its existence conditions. The analytical studies are equipped by calculate the basic reproduction number. Furthermore, this study is also equipped by numerical simulations with some scenarios. The results of this study confirm that the effect of the new regulation is able to reduce overcrowded issue in prisons in Indonesia. However, if it compare to recent prison capacity, this new regulation has not been able to suppress the number of prisoner below to its capacity limit in the short time so that it is needed to consider other solutions as the additional regulation and policy

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  • Padjadjaran University
  • Khulna University
  • Bandung Institute of Technology
  • University of Nusa Cendana
  • Sunan Gunung Djati State Islamic University Bandung
  • Universitas Islam Makassar
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Rekan penulisOrganisasiArtikel bersama
Nursanti AnggrianiPadjadjaran University3
Edi KurniadiPadjadjaran University2
Sisilia SylvianiPadjadjaran University2
Meksianis Zadrak NdiiUniversity of Nusa Cendana2
Ema CarniaPadjadjaran University1
Ananda Ayu PermatasariPadjadjaran University1
Ade Ripki SetiawanPadjadjaran University1
Alifa Raida AlamsyahPadjadjaran University1
Mia Siti KhumaerohSunan Gunung Djati State Islamic University Bandung1
Laura LauraPadjadjaran University1
Panji Fortuna HadisoemartoPadjadjaran University1
Dwi AgustianPadjadjaran University1
Glenn Lahodny Jr.Afiliasi tidak diketahui1
Mona ZevikaBandung Institute of Technology1
Nuning NurainiBandung Institute of Technology1
Md. Haider Ali BiswasKhulna University1
Sk. Abdus SamadKhulna University1
Tahera ParvinKhulna University1
Md. Tusberul IslamKhulna University1
Sanubari Tansah TresnaPadjadjaran University1
Edy SoewonoBandung Institute of Technology1
H. ServianaUniversitas Islam Makassar1

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Sumber metadata: OAI-PMH (metadata jurnal) http://ejurnal.ung.ac.id/index.php/JJBM/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc)
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	<dc:title xml:lang="en-US">The dynamics of prisoner population model in Indonesia with a rehabilitation regulation for drug users to overcome prison overcapacity issue</dc:title>
	<dc:creator>Triska, Anita</dc:creator>
	<dc:creator>Dzulfikar, Muhammad Haekal</dc:creator>
	<dc:creator>Supriatna, Asep K.</dc:creator>
	<dc:subject xml:lang="en-US">Dynamics Model of Prison Population; Rehabilitation Regulation; Overcapacity of Prison</dc:subject>
	<dc:description xml:lang="en-US">This paper discusses about a mathematical model of the prisoner population with a new regulation regarding punishments to the drug users in an effort to overcome the prison overcapacity issue in Indonesia. This new regulation is launched by the Indonesia government after a fact about overcapacity of prison in Indonesia is revealed through a fire incident in a prison on 8 September 2021 that causes 41 people died and a number of people were injured. Besides, prisons in Indonesia are mostly occupied by the drug user. The model is constructed by using a compartmental model approach. The stability analysis of the equilibrium points is carried out along with its existence conditions. The analytical studies are equipped by calculate the basic reproduction number. Furthermore, this study is also equipped by numerical simulations with some scenarios. The results of this study confirm that the effect of the new regulation is able to reduce overcrowded issue in prisons in Indonesia. However, if it compare to recent prison capacity, this new regulation has not been able to suppress the number of prisoner below to its capacity limit in the short time so that it is needed to consider other solutions as the additional regulation and policy</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Universitas Negeri Gorontalo</dc:publisher>
	<dc:contributor xml:lang="en-US"></dc:contributor>
	<dc:date>2023-06-27</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/18898</dc:identifier>
	<dc:identifier>10.34312/jjbm.v4i1.18898</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 4, Issue 1: June 2023; 55-62</dc:source>
	<dc:source>2723-0317</dc:source>
	<dc:source>10.34312/jjbm.v4i1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/18898/6689</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Anita Triska, Muhammad Haekal Dzulfikar, Asep K. Supriatna</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
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