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DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 1 (2022) · pp. 281–292

DOI
10.30598/barekengvol16iss1pp279-290
ISSN
2615-3017, 1978-7227
Published
2022-03-21
Publisher
PATTIMURA UNIVERSITY
Language
eng

Abstract

This research discusses the math model of spreading cholera disease with a mathematical strategy of math model constructed by considering a vaccination strategy. In addition, there is a population of hyperinfectious and lessinfectious bacteria so that the model of SVIR-BhiBli type, by. The model formed in the form of determination of fixed point, determination of basic reproductions numbers, analyzing the equilibrium point and sensitivity analysis. The equilibrium analysis produces two equilibrium points of a immediate-free equilibrium point of aceletotic local if and endemic equilibrium points will be stable local asymptotics if. Furthermore, numerical simulation that the increase in vaccination rate influences on the decline in value while increased rate of vaccine depreciation can increase the value of. In addition, sensitivity analysis shows that if the parameter is enhanced while other contrast parameters will contribute to the increase in value, as a result can increase the rate of transmission of cholera disease. Whereas if the parameter is enhanced while other contrast parameters will contribute to the decrease in value, as a result of the dissemination of the disease can be pressed very significantly.

Collaboration network of the authors

26 authors · 81 co-authorship links

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  • Universitas Halu Oleo
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Sri Lestari MahmudAffiliation unknown3
Nazrilla Hasan LaitaAffiliation unknown3
Novianita AchmadAffiliation unknown2
Resmawan ResmawanAffiliation unknown2
La Ode NasharAffiliation unknown2
Melasarah Deswita RahmadiAffiliation unknown2
Sri Adiningsi B. UsmanAffiliation unknown1
Dewi Rahmawaty IsaAffiliation unknown1
Isran R. OliiAffiliation unknown1
Gusti Arviana RahmanUniversitas Halu Oleo1
Syarif AbdullahAffiliation unknown1
Sri Istiyarti Uswatun ChasanahAffiliation unknown1
Nina ValentikaAffiliation unknown1
Ismail DjakariaAffiliation unknown1
Muhammad Rezky Friesta PayuAffiliation unknown1
Amanda AdityaningrumAffiliation unknown1
Sri Indriani LadjaliAffiliation unknown1
Herlina JusufAffiliation unknown1
Rusniwati S. ImranAffiliation unknown1
Franky Alfrits OrohAffiliation unknown1
Muftih Alwi AliuAffiliation unknown1
Fahrezal ZubediAffiliation 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">DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES</dc:title>
	<dc:creator>Abdul, Nur Safitri</dc:creator>
	<dc:creator>Yahya, Lailany</dc:creator>
	<dc:creator>Resmawan, R.</dc:creator>
	<dc:creator>Nuha, Agusyarif Rezka</dc:creator>
	<dc:description xml:lang="en-US">This research discusses the math model of spreading cholera disease with a mathematical strategy of math model constructed by considering a vaccination strategy. In addition, there is a population of hyperinfectious and lessinfectious bacteria so that the model of SVIR-BhiBli type, by. The model formed in the form of determination of fixed point, determination of basic reproductions numbers, analyzing the equilibrium point and sensitivity analysis. The equilibrium analysis produces two equilibrium points of a immediate-free equilibrium point of aceletotic local if  &amp;nbsp;and endemic equilibrium points will be stable local asymptotics if  . Furthermore, numerical simulation that the increase in vaccination rate influences on the decline in  &amp;nbsp;value while increased rate of vaccine depreciation can increase the value of  . In addition, sensitivity analysis shows that if the parameter  &amp;nbsp;is enhanced while other contrast parameters will contribute to the increase in  &amp;nbsp;value, as a result can increase the rate of transmission of cholera disease. Whereas if the parameter  &amp;nbsp;is enhanced while other contrast parameters will contribute to the decrease in  &amp;nbsp;value, as a result of the dissemination of the disease can be pressed very significantly.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2022-03-21</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/5003</dc:identifier>
	<dc:identifier>10.30598/barekengvol16iss1pp279-290</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 281-292</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol16iss1year2022</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5003/4030</dc:relation>
</oai_dc:dc>