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Mathematical Modelling of Drug Abuse Reduction Strategies taking into account the Treatment Type and Risks Level

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2023) · hlm. 23–30

DOI
10.34312/jjbm.v4i1.19316
ISSN
2723-0317
Terbit
2023-04-20
Penerbit
Department of Mathematics, Universitas Negeri Gorontalo
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

Drug abuse is one of the global issues and has spread among teenagers. Drugs may lead to subordination, health problems and even death. There are several policies made in each country related to the problem of drug abuse, both punishment and treatment. In this paper, we discuss the treatment and strategy to reduce the number of drug users. Drug users can recover themselves by undergoing rehabilitation in the form of inpatient or outpatient care. We first conduct qualitative analyses including stability analysis of equilibrium points of the model, the basic reproduction number and parameter sensitivity analysis. Mathematical model of drug abuse reduction by concerning type of treatment along with risk level without control has two equilibrium points, namely non-endemic or drug-free equilibrium and endemic equilibrium. Sensitivity analysis is provided to investigate which parameter that most affects the dynamical behaviour of the drug abuse model in terms of stability of the non-endemic and endemic equilibrium point. Then we impose an anti-drug campaign on the model as strategy control to reduce the number of drug abusers. Simulation results show that the anti-drug campaign has a significant effect in reducing both the number of drug abusers who received any treatment and do not get any treatment.

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  • Universitas Airlangga
  • Federal University of Technology
  • KolaDaisi University
  • Sekolah Tinggi Agama Buddha Negeri Raden Wijaya Wonogiri
  • Gunadarma University
  • Universitas Islam Negeri Alauddin Makassar
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Rekan penulisOrganisasiArtikel bersama
Ria Riski MarsukiAfiliasi tidak diketahui4
Muhammad Abdurrahman RoisAfiliasi tidak diketahui4
Fatmawati FatmawatiUniversitas Airlangga3
Siti MaryamAfiliasi tidak diketahui3
Rawdhah Binti YasaAfiliasi tidak diketahui3
Sutrisno SutrisnoSekolah Tinggi Agama Buddha Negeri Raden Wijaya Wonogiri2
Hima Sakina FirdhausyAfiliasi tidak diketahui2
Kezia Yansen PasangAfiliasi tidak diketahui2
Tri Wahyu Retno NingsihGunadarma University2
Julianto JuliantoAfiliasi tidak diketahui2
Muhammad ShuhufiUniversitas Islam Negeri Alauddin Makassar2
Afeez AbidemiFederal University of Technology2
John Olajide AkanniKolaDaisi University2
Rostin RostinAfiliasi tidak diketahui1
Jamal Nasir BasoAfiliasi tidak diketahui1
Indah Nurun IzzatiUniversitas Airlangga1
Ananda NoersenaUniversitas Airlangga1
Nabil Azizul HakimUniversitas Airlangga1
Faishal Farrel HerdichoUniversitas Airlangga1
Deky Aji SusenoAfiliasi tidak diketahui1
Kalsum MinangsihAfiliasi tidak diketahui1
Siti Mahmudah NoorhayatiAfiliasi tidak diketahui1
Wastri PebrianiAfiliasi tidak diketahui1
Hukmawati HukmawatiAfiliasi tidak diketahui1
Sri Khaerani RahmanAfiliasi tidak diketahui1
Elvira SeptevanyAfiliasi tidak diketahui1
Dian Sari Unga WaruAfiliasi tidak diketahui1
Arini JunaenyAfiliasi tidak diketahui1
Diinaar F. BerlianAfiliasi tidak diketahui1
M. Bukhori AlkayisAfiliasi tidak diketahui1
Abimanyu AbimanyuAfiliasi tidak diketahui1
Winda AmaliaAfiliasi tidak diketahui1
Hamdi AkhsanAfiliasi tidak diketahui1
Nely AndrianiAfiliasi tidak diketahui1
Suci Husnul HayatiAfiliasi tidak diketahui1
Muhammad Ikhsan AljuzzaAfiliasi tidak diketahui1
Wardah AmaliaAfiliasi tidak diketahui1

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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">Mathematical Modelling of Drug Abuse Reduction Strategies taking into account the Treatment Type and Risks Level</dc:title>
	<dc:creator>Alfiniyah, Cicik</dc:creator>
	<dc:creator>Puspitasari, Anisa</dc:creator>
	<dc:creator>Fatmawati, Fatmawati</dc:creator>
	<dc:subject xml:lang="en-US">Drug abuse; Rehabilitation; Campaign; Mathematical Model; Optimal Control</dc:subject>
	<dc:description xml:lang="en-US">Drug abuse is one of the global issues and has spread among teenagers. Drugs may lead to subordination, health problems and even death. There are several policies made in each country related to the problem of drug abuse, both punishment and treatment. In this paper, we discuss the treatment and strategy to reduce the number of drug users. Drug users can recover themselves by undergoing rehabilitation in the form of inpatient or outpatient care. We first conduct qualitative analyses including stability analysis of equilibrium points of the model, the basic reproduction number and parameter sensitivity analysis. Mathematical model of drug abuse reduction by concerning type of treatment along with risk level without control has two equilibrium points, namely non-endemic or drug-free equilibrium and endemic equilibrium. Sensitivity analysis is provided to investigate which parameter that most affects the dynamical behaviour of the drug abuse model in terms of stability of the non-endemic and endemic equilibrium point. Then we impose an anti-drug campaign on the model as strategy control to reduce the number of drug abusers. Simulation results show that the anti-drug campaign has a significant effect in reducing both the number of drug abusers who received any treatment and do not get any treatment.</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>2023-04-20</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/19316</dc:identifier>
	<dc:identifier>10.34312/jjbm.v4i1.19316</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 4, Issue 1: June 2023; 23-30</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/19316/6381</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Cicik Alfiniyah, Anisa Puspitasari, Fatmawati Fatmawati</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
</oai_dc:dc>