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Dynamics of Intra-guild Predation Model with Stage Structure in Prey

Jurnal Matematika, Statistika dan Komputasi · Vol. 18 No. 1 (2021) · pp. 67–77

DOI
10.20956/j.v18i1.14362
ISSN
2614-8811, 1858-1382
Published
2021-09-02
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

Abstract

English

The Intra-guild predation model is an interaction between three species where two of them compete and prey on each other for the same resource. This study considers the stage structure of prey on and combines Beddington-DeAngelis and Holling type I as functional responses in the model. Furthermore, the equilibrium point and stability of the model will be analyzed. The numerical result at the equilibrium point shows that the solution converging toward the equilibrium point so that the population is stable and will not become extinct with increasing time. In addition, the population tends to be stable when the density of prey is larger than the predator.

Bahasa Indonesia

Abstrak Model predasi intraguild merupakan interaksi antara tiga spesies dimana dua spesies diantaranya saling berkompetisi dan memangsa untuk memperebutkan sumber daya yang sama. Penelitian ini mempertimbangkan tahapan struktur pada mangsa dan menggabungkan fungsi respon Beddington-DeAngelis dan Holling tipe I pada model. Selanjutnya akan dianalisis titik kesetimbangan dan kestabilan model. Hasil numerik pada titik kesetimbangan menunjukkan bahwa solusi konvergen menuju titik kesetimbangan sehingga populasi stabil dan tidak akan punah dengan bertambahnya waktu. Selain itu, populasi cenderung stabil ketika populasi mangsa lebih besar dari populasi pemangsa.

Keywords

Collaboration network of the authors

40 authors · 86 co-authorship links

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

  • State University of Makassar
  • Hasanuddin University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Kasbawati KasbawatiAffiliation unknown12
Sulma SulmaAffiliation unknown4
Khaeruddin KhaeruddinState University of Makassar3
Muhammad Rifki NisardiAffiliation unknown2
Suriani SurianiAffiliation unknown2
Ismi Ra'yan SyarifAffiliation unknown2
I Nyoman WidanaAffiliation unknown1
Ita FitriaAffiliation unknown1
Agustinus RibalAffiliation unknown1
Muh HamzahAffiliation unknown1
Sulfayanti SulfayantiAffiliation unknown1
Syamsul AgusAffiliation unknown1
Mawardi BahriAffiliation unknown1
IIN SUTRISNAAffiliation unknown1
Asriadi NasrunAffiliation unknown1
Yusrianto YusriantoAffiliation unknown1
Himmatul Ulya FebriyantiAffiliation unknown1
Lilis Dwi Sapta AprilyaniAffiliation unknown1
A. Muh. Amil SiddikAffiliation unknown1
Andi Muhammad AnwarAffiliation unknown1
Syamsir MuarafAffiliation unknown1
Naimah ArisAffiliation unknown1
Muhammad Nur HidayatAffiliation unknown1
Nita AnggrianiAffiliation unknown1
Hendra MesraHasanuddin University1
. HendraAffiliation unknown1
Iman Al FajriAffiliation unknown1
Andi Utari SamsirAffiliation unknown1
Mutmainnah SyamsulAffiliation unknown1
Rabiatul AdawiyahAffiliation unknown1
Suriani MAffiliation unknown1
Harianto HariantoAffiliation unknown1
Dian FirmayasariAffiliation unknown1
Sitti SahrimanAffiliation unknown1
Anisa KalondengAffiliation unknown1
M. Zaky Hisyam GozhiAffiliation unknown1
Aidul Fitri MustaminAffiliation 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">Dynamics of Intra-guild Predation Model with Stage Structure in Prey</dc:title>
	<dc:creator xml:lang="en">Hukmah, Hukmah</dc:creator>
	<dc:creator xml:lang="en">Toaha, Syamsuddin</dc:creator>
	<dc:creator xml:lang="en">Kusuma, Jeffry </dc:creator>
	<dc:subject xml:lang="en">Intra-guild Predation</dc:subject>
	<dc:subject xml:lang="en">Stage Structure</dc:subject>
	<dc:subject xml:lang="en">Holling Type I</dc:subject>
	<dc:subject xml:lang="en">Beddington-DeAngelis</dc:subject>
	<dc:description xml:lang="en">The Intra-guild predation model is an interaction between three species where two of them compete and prey on each other for the same resource. This study considers the stage structure of prey on and combines Beddington-DeAngelis and Holling type I as functional responses in the model. Furthermore, the equilibrium point and stability of the model will be analyzed. The numerical result at the equilibrium point shows that the solution converging toward the equilibrium point so that the population is stable and will not become extinct with increasing time. In addition, the population tends to be stable when the density of prey is larger than the predator.</dc:description>
	<dc:description xml:lang="id">Abstrak
Model predasi intraguild merupakan interaksi antara tiga spesies dimana dua spesies diantaranya saling berkompetisi dan memangsa untuk memperebutkan sumber daya yang sama. Penelitian ini mempertimbangkan tahapan struktur pada mangsa dan menggabungkan fungsi respon Beddington-DeAngelis dan Holling tipe I pada model. Selanjutnya akan dianalisis titik kesetimbangan dan kestabilan model. Hasil numerik pada titik kesetimbangan &amp;nbsp;menunjukkan bahwa solusi konvergen menuju titik kesetimbangan sehingga populasi stabil dan tidak akan punah dengan bertambahnya waktu. Selain itu, populasi cenderung stabil ketika populasi mangsa lebih besar dari populasi pemangsa.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2021-09-02</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/14362</dc:identifier>
	<dc:identifier>10.20956/j.v18i1.14362</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 18 No. 1 (2021): September 2021; 67-77</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/14362/7301</dc:relation>
	<dc:relation>10.20956/j.v18i1.14362.g7301</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2021 Author and publisher</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
</oai_dc:dc>