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Dynamics of a stage–structure Rosenzweig–MacArthur model with linear harvesting in prey and cannibalism in predator

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2021) · hlm. 42–50

DOI
10.34312/jjbm.v2i1.10470
ISSN
2723-0317
Terbit
2021-06-15
Penerbit
Department of Mathematics, Universitas Negeri Gorontalo
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

A kind of stage-structure Rosenzweig–MacArthur model with linear harvesting in prey and cannibalism in predator is investigated in this paper. By analyzing the model, local stability of all possible equilibrium points is discussed. Moreover, the model undergoes a Hopf–bifurcation around the interior equilibrium point. Numerical simulations are carried out to illustrate our main results.

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  • Universitas Pattimura
  • State University of Malang
  • State University of Gorontalo
  • Sekolah Tinggi Ilmu Kesehatan Pasapua Ambon
  • University of South Africa
  • Universitas Pembangunan Nasional Veteran Yogyakarta
  • University of Medical Sciences, Ondo
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Rekan penulisOrganisasiArtikel bersama
Venn Yan Ishak IlwaruUniversitas Pattimura3
Yopi Andry LesnussaUniversitas Pattimura2
Muhammad Fandi AnsoriDiponegoro University2
Lusye BakarbessyUniversitas Pattimura2
Monce DahokloryUniversitas Pattimura2
Sri Lestari RahayuState University of Malang1
Fauziatul FajarohState University of Malang1
Sumari SumariState University of Malang1
Vynska Amalia PermadiUniversitas Pembangunan Nasional Veteran Yogyakarta1
Olumuyiwa James PeterUniversity of Medical Sciences, Ondo1
Maria Engeline SahusilawaneUniversitas Pattimura1
Mayowa M. OjoUniversity of South Africa1
Emli RahmiState University of Gorontalo1
Hasan S. PanigoroState University of Gorontalo1
Dian SavitriUniversitas Negeri Surabaya1
Dorteus L. RahakbauwUniversitas Pattimura1
Monalisa E. RijolyUniversitas Pattimura1
Abraham Z. WattimenaUniversitas Pattimura1
Zeth Arthur LeleuryUniversitas Pattimura1

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Sumber metadata: OAI-PMH (metadata jurnal) http://ejurnal.ung.ac.id/index.php/JJBM/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Dynamics of a stage–structure Rosenzweig–MacArthur model with linear harvesting in prey and cannibalism in predator</dc:title>
	<dc:creator>Beay, Lazarus Kalvein</dc:creator>
	<dc:creator>Saija, Maryone</dc:creator>
	<dc:subject xml:lang="en-US">Stage-structure; Rosenzweig-MacArthur model; linear harvesting; cannibalism; stability; Hopf-bifurcation</dc:subject>
	<dc:description xml:lang="en-US">A kind of stage-structure Rosenzweig–MacArthur model with linear harvesting in prey and cannibalism in predator is investigated in this paper. By analyzing the model, local stability of all possible equilibrium points is discussed. Moreover, the model undergoes a Hopf–bifurcation around the interior equilibrium point. Numerical simulations are carried out to illustrate our main results. </dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Universitas Negeri Gorontalo</dc:publisher>
	<dc:contributor xml:lang="en-US"></dc:contributor>
	<dc:date>2021-06-15</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/10470</dc:identifier>
	<dc:identifier>10.34312/jjbm.v2i1.10470</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 2, Issue 1: June 2021; 42-50</dc:source>
	<dc:source>2723-0317</dc:source>
	<dc:source>10.34312/jjbm.v2i1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/10470/3015</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2021 Lazarus Kalvein Beay, Maryone Saija</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
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