Melola Discovery

← Melola Discovery

Akses terbuka Jurnal SINTA 1

Dynamical Behavior in Prey-Predator Model with Mutualistic Protection for Prey

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2023) · hlm. 103–109

DOI
10.37905/jjbm.v4i2.21541
ISSN
2723-0317
Terbit
2023-12-31
Penerbit
Department of Mathematics, Universitas Negeri Gorontalo
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

This article reconstructs the model of predator-prey mutualistic protection based on a journal written by Revilla and Krivan (2022). The predator-prey model considers mutualistic protection for the prey. The model focuses on the analysis of equilibrium points and combines an adaptive model to study the influence of both models on predator-prey dynamics. This research continues the stability analysis and numerical simulations of the predator-prey model with mutualistic protection to examine the impact of mutualistic protection on prey dynamics in the model. The research process begins with a literature review, reconstructing the predator-prey model, determining equilibrium points, analyzing stability at the equilibrium points, conducting numerical simulations including bifurcation diagrams and phase portraits of the model solutions, and drawing conclusions. The analysis yields three equilibrium points: the unstable co-extinction of both populations, predator extinction, and the conditionally stable coexistence of both populations. Based on the analysis results, there are changes in the system solutions, with the originally stable E3 becoming unstable. There is also a change in E2 from being unstable to stable. Through numerical continuation with variations in the parameter representing the mutualistic protector's preference for prey resources (u), a transcritical bifurcation (Branch Point) is obtained at u = 0.888889. The simulation results demonstrate that (u) can influence the stability of predator and prey populations.

Kata kunci

Jaringan kolaborasi para penulis

14 penulis · 21 tautan kepenulisan bersama · 6 lintas organisasi

Arahkan kursor atau ketuk sebuah nama untuk menyorot rekan penulisnya. Klik dua kali untuk membuka halaman penulis.

  • Universitas Negeri Surabaya
  • Atma Jaya Catholic University of Indonesia
  • State University of Semarang
  • Bandung Institute of Technology
  • Afiliasi tidak diketahui
  • Organisasi berbeda
  • Organisasi sama
  • Afiliasi tidak diketahui
  • Garis lebih tebal = lebih banyak artikel bersama · lingkaran lebih besar = lebih banyak artikel
Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Rudianto ArtionoUniversitas Negeri Surabaya2
Budi Priyo PrawotoUniversitas Negeri Surabaya2
Mifta Kharisma DewiUniversitas Negeri Surabaya2
Siti Maghfirotun AminUniversitas Negeri Surabaya1
Abd Kadir JaelaniAfiliasi tidak diketahui1
Siti SaadahAtma Jaya Catholic University of Indonesia1
Dian SavitriState University of Semarang1
Retno Ekawati NingrumAfiliasi tidak diketahui1
Yuliani Puji AstutiAfiliasi tidak diketahui1
Muhammad FakhruddinBandung Institute of Technology1
An Nisa SalsabilaUniversitas Negeri Surabaya1

Afiliasi berasal dari OpenAlex; metadata OAI-PMH jurnal tidak memuatnya. Penulis tanpa ID OpenAlex dicocokkan berdasarkan nama, sehingga dua orang bisa tergabung atau satu orang bisa terpisah.

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) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">Dynamical Behavior in Prey-Predator Model with Mutualistic Protection for Prey</dc:title>
	<dc:creator>Putri, Laras Kinanti</dc:creator>
	<dc:creator>Savitri, Dian</dc:creator>
	<dc:creator>Abadi, Abadi</dc:creator>
	<dc:subject xml:lang="en-US">Protection Mutualism; Stability; Numerical Simulation</dc:subject>
	<dc:description xml:lang="en-US">This article reconstructs the model of predator-prey mutualistic protection based on a journal written by Revilla and Krivan (2022). The predator-prey model considers mutualistic protection for the prey. The model focuses on the analysis of equilibrium points and combines an adaptive model to study the influence of both models on predator-prey dynamics. This research continues the stability analysis and numerical simulations of the predator-prey model with mutualistic protection to examine the impact of mutualistic protection on prey dynamics in the model. The research process begins with a literature review, reconstructing the predator-prey model, determining equilibrium points, analyzing stability at the equilibrium points, conducting numerical simulations including bifurcation diagrams and phase portraits of the model solutions, and drawing conclusions. The analysis yields three equilibrium points: the unstable co-extinction of both populations, predator extinction, and the conditionally stable coexistence of both populations. Based on the analysis results, there are changes in the system solutions, with the originally stable E3 becoming unstable. There is also a change in E2 from being unstable to stable. Through numerical continuation with variations in the parameter representing the mutualistic protector's preference for prey resources (u), a transcritical bifurcation (Branch Point) is obtained at u = 0.888889. The simulation results demonstrate that (u) can influence the stability of predator and prey populations.</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>2023-12-31</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/21541</dc:identifier>
	<dc:identifier>10.37905/jjbm.v4i2.21541</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 4, Issue 2: December 2023; 103-109</dc:source>
	<dc:source>2723-0317</dc:source>
	<dc:source>10.37905/jjbm.v4i2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/21541/7871</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Laras Kinanti Putri, Dian Savitri, Abadi Abadi</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
</oai_dc:dc>