Melola Discovery

← Melola Discovery

Jurnal

ANALISIS MODEL MATEMATIKA PENYEBARAN PENYAKIT DIABETES DENGAN FAKTOR GENETIK

SAINS: Jurnal MIPA dan Pengajarannya · Vol. 15 No. 1 (2018)

DOI
10.31957/sains.v15i1.3
ISSN
1412-1093
Published
2018-05-13
Publisher
Fakultas MIPA - Universitas Cenderwasih
Language
eng

Abstract

Diabetes mellitusis one of the health cases occurred due to the mixture of some kind of diseases. This disease arises when there is a deficiency of the pancreatic hormone insulin or the insulin does not function effectively to metabolise sugars. As a result, the concentration of glucose in the bloodis chronically higher than normal value. In this paper, it will be discussed a mathematical model type SEI that groups human population into three classes, namely Susceptible (S), Exposed (E) dan Infected (I). Steps to analyse the model are by definingthe equilibrium points when the system is disease-free (non endemic) and not disease-free (endemic); subsequently, analysis of stability of the both points is conducted.The determination of the value of BasicReproduction Number (R0)aims to observe whether the disease spreads or declines. If 𝑅0 1, then it will ascend to become an epidemic within the population. Keywords: Diabetes Mellitus, Mathematical Model Type SEI, Equilibrium Point, Basic Reproduction Number(𝑅0).

Collaboration network of the authors

8 authors · 10 co-authorship links

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

  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
JONNER NAINGGOLANAffiliation unknown2
RAHMANPIU RAHMANPIUAffiliation unknown1
Olma SantianiAffiliation unknown1
Rafiuddin RafiuddinAffiliation unknown1
Ranti Sri Juniati ManginsiAffiliation unknown1
Fitriani TandililingAffiliation 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://ejournal.uncen.ac.id/index.php/SAINS/oai, first harvested 1 Nov 2026, last seen 1 Nov 2026.
Original metadata (oai_dc) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">ANALISIS MODEL MATEMATIKA PENYEBARAN PENYAKIT DIABETES DENGAN FAKTOR GENETIK</dc:title>
	<dc:creator>Abraham, Abraham</dc:creator>
	<dc:creator>San, Richardus</dc:creator>
	<dc:description xml:lang="en-US">Diabetes mellitusis one of the health cases occurred due to the mixture of some kind of diseases. This disease arises when there is a deficiency of the pancreatic hormone insulin or the insulin does not function effectively to metabolise sugars. As a result, the concentration of glucose in the bloodis chronically higher than normal value. In this paper, it will be discussed a mathematical model type SEI that groups human population into three classes, namely Susceptible (S), Exposed (E) dan Infected (I). Steps to analyse the model are by definingthe equilibrium points when the system is disease-free (non endemic) and not disease-free (endemic); subsequently, analysis of stability of the both points is conducted.The determination of the value of BasicReproduction Number (R0)aims to observe whether the disease spreads or declines. If 𝑅0 &amp;lt; 1, then in the population diabetes mellitus will decline or evanesce; if 𝑅0 = 1, then this disease will remain (endemic) in the population; and if the 𝑅0 &amp;gt; 1, then it will ascend to become an epidemic within the population. Keywords : Diabetes Mellitus, Mathematical Model Type SEI, Equilibrium Point, Basic Reproduction Number(𝑅0).</dc:description>
	<dc:publisher xml:lang="en-US">Fakultas MIPA - Universitas Cenderwasih</dc:publisher>
	<dc:date>2018-05-13</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://ejournal.uncen.ac.id/index.php/SAINS/article/view/3</dc:identifier>
	<dc:identifier>10.31957/sains.v15i1.3</dc:identifier>
	<dc:source xml:lang="en-US">SAINS: Jurnal MIPA dan Pengajarannya; Vol. 15 No. 1 (2015)</dc:source>
	<dc:source xml:lang="id-ID">SAINS: Jurnal MIPA dan Pengajarannya; Vol 15 No 1 (2015)</dc:source>
	<dc:source>1412-1093</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ejournal.uncen.ac.id/index.php/SAINS/article/view/3/2</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2018 SAINS: Jurnal MIPA dan Pengajarannya</dc:rights>
</oai_dc:dc>