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Analysis of a Discrete Predator-Prey Model for Controlling The Extinction of The Pesut Mahakam (Orcaella brevirostris) with Toxic Effect at The Mahakam River

Analisis Model Diskret Predator-Prey untuk Pengendalian Kepunahan Pesut Mahakam (Orcaella brevirostris) dengan Efek Toksik di Sungai Mahakam

Jurnal Matematika, Statistika dan Komputasi · Vol. 20 No. 1 (2023) · pp. 196–206

DOI
10.20956/j.v20i1.26460
ISSN
2614-8811, 1858-1382
Published
2023-09-06
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

Abstract

English

The Pesut Mahakam (Orcaella brevirostris) is an East Kalimantan animal in critical condition and on the verge of extinction. One of the causes of the extinction of the Mahakam dolphins is the toxic effects of environmental pollution. In this study, an analysis of the discrete predator-prey model using Euler's forward difference between the Pesut Mahakam (Orcaella brevirostris) and its prey was investigated. Dynamic analysis includes determining the equilibrium point, stability analysis of the equilibrium point, and numerical simulation. The value of the Mahakam dolphin growth rate parameter (predator) is obtained by adjusting the curve based on data in the field. Numerical simulations were carried out to describe the results of the analysis. Changes in the value of the toxic effect rate parameter affects the number of Mahakam dolphins and their prey.

Bahasa Indonesia

Pesut mahakam (Orcaella brevirostris) merupakan satwa Kalimantan Timur yang berada dalam kondisi kritis menuju kepunahan. Salah satu penyebab kepunahan pesut mahakam adalah efek racun dari pencemaran lingkungan. Dalam penelitian ini, analisis model predator-prey diskrit antara pesut mahakam (Orcaella brevirostris) dan mangsanya telah diselidiki. Analisis dinamik meliputi penentuan titik kesetimbangan, analisis stabilitas titik kesetimbangan, dan simulasi numerik. Nilai parameter laju pertumbuhan pesut mahakam (predator) diperoleh dengan menyesuaikan kurva berdasarkan data di lapangan. Simulasi numerik dilakukan untuk menggambarkan hasil analisis. Perubahan nilai parameter laju efek toksik berpengaruh terhadap jumlah pesut mahakam dan mangsanya

Keywords

Collaboration network of the authors

9 authors · 17 co-authorship links

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Co-authorOrganisationJoint articles
Hairi SeptiyanorAffiliation unknown1
Rito GoejantoroAffiliation unknown1
Fidia Deny Tisna AmijayaAffiliation unknown1
Wasono WasonoAffiliation unknown1
Shanaz TulzahrahAffiliation unknown1
Rara SuciatiAffiliation 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://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">Analysis of a Discrete Predator-Prey Model for Controlling The Extinction of The Pesut Mahakam (Orcaella brevirostris) with Toxic Effect at The Mahakam River </dc:title>
	<dc:title xml:lang="id">Analisis Model Diskret Predator-Prey untuk Pengendalian Kepunahan Pesut Mahakam (Orcaella brevirostris) dengan Efek Toksik di Sungai Mahakam</dc:title>
	<dc:creator xml:lang="en">Indar, Baso</dc:creator>
	<dc:creator xml:lang="en">Huda, Moh. Nurul </dc:creator>
	<dc:creator xml:lang="en">Syaripuddin, Syaripuddin</dc:creator>
	<dc:subject xml:lang="en">Pesut Mahakam</dc:subject>
	<dc:subject xml:lang="en">numerical simulation</dc:subject>
	<dc:subject xml:lang="en">predator-prey model</dc:subject>
	<dc:subject xml:lang="en">stability analysis</dc:subject>
	<dc:subject xml:lang="en">toxic effect</dc:subject>
	<dc:subject xml:lang="id">Pesut Mahakam</dc:subject>
	<dc:subject xml:lang="id">simulasi numerik</dc:subject>
	<dc:subject xml:lang="id">model predator-prey</dc:subject>
	<dc:subject xml:lang="id">analisis kestabilan</dc:subject>
	<dc:subject xml:lang="id">efek racun</dc:subject>
	<dc:description xml:lang="en">The Pesut Mahakam (Orcaella brevirostris) is an East Kalimantan animal in critical condition and on the verge of extinction. One of the causes of the extinction of the Mahakam dolphins is the toxic effects of environmental pollution. In this study, an analysis of the discrete predator-prey model using Euler's forward difference between the Pesut Mahakam (Orcaella brevirostris) and its prey was investigated. Dynamic analysis includes determining the equilibrium point, stability analysis of the equilibrium point, and numerical simulation. The value of the Mahakam dolphin growth rate parameter (predator) is obtained by adjusting the curve based on data in the field. Numerical simulations were carried out to describe the results of the analysis. Changes in the value of the toxic effect rate parameter affects the number of Mahakam dolphins and their prey.</dc:description>
	<dc:description xml:lang="id">Pesut mahakam (Orcaella brevirostris) merupakan satwa Kalimantan Timur yang berada dalam kondisi kritis menuju kepunahan. Salah satu penyebab kepunahan pesut mahakam adalah efek racun dari pencemaran lingkungan. Dalam penelitian ini, analisis model predator-prey diskrit antara pesut mahakam (Orcaella brevirostris) dan mangsanya telah diselidiki. Analisis dinamik meliputi penentuan titik kesetimbangan, analisis stabilitas titik kesetimbangan, dan simulasi numerik. Nilai parameter laju pertumbuhan pesut mahakam (predator) diperoleh dengan menyesuaikan kurva berdasarkan data di lapangan. Simulasi numerik dilakukan untuk menggambarkan hasil analisis. Perubahan nilai parameter laju efek toksik berpengaruh terhadap jumlah pesut mahakam dan mangsanya</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2023-09-06</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://journal.unhas.ac.id/index.php/jmsk/article/view/26460</dc:identifier>
	<dc:identifier>10.20956/j.v20i1.26460</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 20 No. 1 (2023): SEPTEMBER, 2023; 196- 206</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/26460/10277</dc:relation>
	<dc:relation>10.20956/j.v20i1.26460.g10277</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2023 Author and publisher</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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