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MATHEMATICAL MODEL OF THREE SPECIES FOOD CHAIN WITH INTRASPECIFIC COMPETITION AND HARVESTING ON PREDATOR

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 2 (2022) · hlm. 551–562

DOI
10.30598/barekengvol16iss2pp551-562
ISSN
2615-3017, 1978-7227
Terbit
2022-06-01
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng

Abstrak

This research develops a mathematical model of three species of food chains between prey, predator, and top predator by adding intraspecific competition and harvesting factors. Interaction between prey with predator and interaction between predator with top predator uses the functional response type II. Model formation begins with creating a diagram food chain of three species compartments. Then a nonlinear differential equation system is formed based on the compartment diagram. Based on this system four equilibrium points are obtained. Analysis of local stability at the equilibrium points by linearization shows that there is one unstable equilibrium point and three asymptotic stable local equilibrium points. Numerical simulations at equilibrium points show the same results as the results of the analysis. Then numerical simulations on several parameter variations show that intraspecific competition has little effect on population changes in predator and top predator. While the harvesting parameter predator affects the population of predator and top predator.

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  • Syarif Hidayatullah State Islamic University Jakarta
  • Universitas Muhammadiyah Kalimantan Timur
  • Binus University
  • University of Singaperbangsa Karawang
  • Diponegoro University
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Rekan penulisOrganisasiArtikel bersama
Nina FitriyatiSyarif Hidayatullah State Islamic University Jakarta3
Nur Lailiyatul InayahSyarif Hidayatullah State Islamic University Jakarta2
Eti HartatiSyarif Hidayatullah State Islamic University Jakarta2
Madona Yunita WijayaSyarif Hidayatullah State Islamic University Jakarta2
Maimunah MaskurBinus University1
Hendra KurniawanBinus University1
Ikhwal YupintoSyarif Hidayatullah State Islamic University Jakarta1
Maghvirotul AzizahSyarif Hidayatullah State Islamic University Jakarta1
Savira PratiwiSyarif Hidayatullah State Islamic University Jakarta1
Raza Aqil MaulanaSyarif Hidayatullah State Islamic University Jakarta1
Tesa Nur PadilahUniversity of Singaperbangsa Karawang1
Iqbal MaulanaUniversity of Singaperbangsa Karawang1
Yanne IreneSyarif Hidayatullah State Islamic University Jakarta1
Mochammad Rafli AlamsyahSyarif Hidayatullah State Islamic University Jakarta1
Nurcahya Yulian AsharDiponegoro University1
Yoga Amanda PutraSyarif Hidayatullah State Islamic University Jakarta1
Wahri IrawanSyarif Hidayatullah State Islamic University Jakarta1
Bhakti Prabandyo WicaksonoBinus University1
Hendra SaputraUniversitas Muhammadiyah Kalimantan Timur1
Faldi FaldiUniversitas Muhammadiyah Kalimantan Timur1
Ferry Fadzlul RahmanUniversitas Muhammadiyah Kalimantan Timur1
Sayekti Harits SuryawanUniversitas Muhammadiyah Kalimantan Timur1
Wawan Joko PranotoUniversitas Muhammadiyah Kalimantan Timur1
Fathur RahmanUniversitas Muhammadiyah Kalimantan Timur1
Satrio SadewoBinus University1
Mahmudi MahmudiSyarif Hidayatullah State Islamic University Jakarta1
Galuh PrayogaSyarif Hidayatullah State Islamic University Jakarta1
Irma FauziahSyarif Hidayatullah State Islamic University Jakarta1
Andrew FiadeSyarif Hidayatullah State Islamic University Jakarta1
Flori R. SariSyarif Hidayatullah State Islamic University Jakarta1

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Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">MATHEMATICAL MODEL OF THREE SPECIES FOOD CHAIN WITH INTRASPECIFIC COMPETITION AND HARVESTING ON PREDATOR</dc:title>
	<dc:creator>Manaqib, Muhammad</dc:creator>
	<dc:creator>Suma'inna, Suma'inna</dc:creator>
	<dc:creator>Zahra, Amalia</dc:creator>
	<dc:description xml:lang="en-US">This research develops a mathematical model of three species of food chains between prey, predator, and top predator by adding intraspecific competition and harvesting factors. Interaction between prey with predator and interaction between predator with top predator uses the functional response type II. Model formation begins with creating a diagram food chain of three species compartments. Then a nonlinear differential equation system is formed based on the compartment diagram. Based on this system four equilibrium points are obtained. Analysis of local stability at the equilibrium points by linearization shows that there is one unstable equilibrium point and three asymptotic stable local equilibrium points. Numerical simulations at equilibrium points show the same results as the results of the analysis. Then numerical simulations on several parameter variations show that intraspecific competition has little effect on population changes in predator and top predator. While the harvesting parameter predator affects the population of predator and top predator.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2022-06-01</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/5220</dc:identifier>
	<dc:identifier>10.30598/barekengvol16iss2pp551-562</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 551-562</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol16iss2year2022</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5220/4485</dc:relation>
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