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ANALISIS KESTABILAN MODEL PENYEBARAN PENGGUNA NARKOBA DENGAN FAKTOR EDUKASI

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 14 No. 1 (2020) · pp. 069–078

DOI
10.30598/barekengvol14iss1pp069-078
ISSN
2615-3017, 1978-7227
Published
2020-03-01
Publisher
PATTIMURA UNIVERSITY
Language
eng

Abstract

This article discusses the model of drug addicts with education. The analysis begins by constructing the model. Next, the equilibrium point and its stability conditions are determined, and numerical simulation is given at the end. Two equilibrium points obtained, those are the drug-addicts free equilibrium point and the drug-addicts endemic equilibrium point. Then the basic reproduction number ( ) as the expected value of infection per unit time is determined using the Next Generation Matrix approach. Based on the numerical simulation, every population is stable near to the drug-free equilibrium point at, means the population of the drug-addict constantly decrease and on a certain condition will be non-existent, and stable around to drug-endemic equilibrium point at, means the drug-addict population will constantly increase so the drug epidemic occurred. Through the numerical simulation, the biggest education is given, the more population susceptible to education increase which caused the number population of susceptible without education decrease.

Collaboration network of the authors

36 authors · 104 co-authorship links

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universitas Sulawesi Tenggara
  • Institut Agama Islam Muhammadiyah Sinjai
  • State University of Semarang
  • State University of Gorontalo
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Djihad WungguliAffiliation unknown2
Muhammad Rezky Friesta PayuAffiliation unknown2
Salmun K. NasibAffiliation unknown2
Dewi Rahmawaty IsaAffiliation unknown2
Arsalim ArsalimUniversitas Sulawesi Tenggara1
Humairah MuljabarUniversitas Sulawesi Tenggara1
Erfain ErfainAffiliation unknown1
Imran ImranAffiliation unknown1
Monalisa Herawati RumayarAffiliation unknown1
Muh. Ridawan AdnanAffiliation unknown1
Fauzan FauzanAffiliation unknown1
Rosna Ningsih BilondatuAffiliation unknown1
Isran R. OliiAffiliation unknown1
Lailany YahyaAffiliation unknown1
Rahmayunda UsaliAffiliation unknown1
Franky Alfrits OrohAffiliation unknown1
Muhammad Rezky F. PayuAffiliation unknown1
Nisky Imansyah YahyaAffiliation unknown1
Ainun FatmawatiAffiliation unknown1
Jefri N. IsaAffiliation unknown1
Stella JunusAffiliation unknown1
Asriadi AsriadiInstitut Agama Islam Muhammadiyah Sinjai1
La Ode NasharAffiliation unknown1
Amanda AdityaningrumAffiliation unknown1
Annisa Maharani BrahimAffiliation unknown1
Agus SuryantoState University of Semarang1
Hasan S. PanigoroAffiliation unknown1
Isnani DartiAffiliation unknown1
Emli RahmiState University of Gorontalo1
Nurhalis HasanAffiliation unknown1
Agusyarif Rezka NuhaAffiliation unknown1
Novianita AchmadAffiliation unknown1
Rusniwati S. ImranAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">ANALISIS KESTABILAN MODEL PENYEBARAN PENGGUNA NARKOBA DENGAN FAKTOR EDUKASI</dc:title>
	<dc:creator>Husain, Moh Rizal</dc:creator>
	<dc:creator>Nurwan, Nurwan</dc:creator>
	<dc:creator>Resmawan, Resmawan</dc:creator>
	<dc:description xml:lang="en-US">This article discusses the model of drug addicts with education. The analysis begins by constructing the model. Next, the equilibrium point and its stability conditions are determined, and numerical simulation is given at the end. Two equilibrium points obtained, those are the drug-addicts free equilibrium point and the drug-addicts endemic equilibrium point. Then the basic reproduction number ( ) as the expected value of infection per unit time is determined using the Next Generation Matrix approach. Based on the numerical simulation, every population is stable near to the drug-free equilibrium point at  , means the population of the drug-addict constantly decrease and on a certain condition will be non-existent, and stable around to drug-endemic equilibrium point at  , means the drug-addict population will constantly increase so the drug epidemic occurred. Through the numerical simulation, the biggest education is given, the more population susceptible to education increase which caused the number population of susceptible without education decrease.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2020-03-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1271</dc:identifier>
	<dc:identifier>10.30598/barekengvol14iss1pp069-078</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 14 No 1 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 069-078</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol14iss1year2020</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1271/1425</dc:relation>
</oai_dc:dc>