Dynamics Analysis of Modified Leslie-Gower Model with Simplified Holling Type IV Functional Response

Ramadhani, Nur Suci; Toaha, Toaha; Kasbawati, Kasbawati

doi:10.20956/j.v18i1.13881

Open access Jurnal

Dynamics Analysis of Modified Leslie-Gower Model with Simplified Holling Type IV Functional Response

Jurnal Matematika, Statistika dan Komputasi · Vol. 18 No. 1 (2021) · pp. 12–21

DOI: 10.20956/j.v18i1.13881
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

In this paper, the modified Leslie-Gower predator-prey model with simplified Holling type IV functional response is discussed. It is assumed that the prey population is a dangerous population. The equilibrium point of the model and the stability of the coexistence equilibrium point are analyzed. The simulation results show that both prey and predator populations will not become extinct as time increases. When the prey population density increases, there is a decrease in the predatory population density because the dangerous prey population has a better ability to defend itself from predators when the number is large enough.

Bahasa Indonesia

Dalam tulisan ini dibahas modifikasi model mangsa pemangsa Leslie-Gower dan fungsi respon Holling tipe IV yang disederhanakan. Diasumsikan bahwa populasi mangsa adalah populasi yang berbahaya. Titik-titik kesetimbangan model dan kestabilan dari titik kesetimbangan koeksistensi dianalisis. Selanjutnya, dilakukan simulasi numerik pada titik kesetimbangan koeksistensi. Hasil simulasi menunjukkan bahwa kedua populasi mangsa dan pemangsa tidak akan punah pada saat waktu semakin membesar. Pada saat kepadatan populasi mangsa meningkat terjadi penurunan terhadap kepadatan populasi pemangsa karena populasi mangsa yang berbahaya memiliki kemampuan yang lebih baik untuk mempertahankan diri dari pemangsa ketika jumlahnya cukup besar.

Keywords

Collaboration network of the authors

15 authors · 27 co-authorship links

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Co-author	Organisation	Joint articles
Syamsuddin Toaha	Affiliation unknown	12
Syamsul Agus	Affiliation unknown	1
Yusrianto Yusrianto	Affiliation unknown	1
Himmatul Ulya Febriyanti	Affiliation unknown	1
Lilis Dwi Sapta Aprilyani	Affiliation unknown	1
Sulma Sulma	Affiliation unknown	1
Suriani Suriani	Affiliation unknown	1
Syamsir Muaraf	Affiliation unknown	1
Nita Anggriani	Affiliation unknown	1
Andi Utari Samsir	Affiliation unknown	1
Mutmainnah Syamsul	Affiliation unknown	1
Rabiatul Adawiyah	Affiliation unknown	1

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 Analysis of Modified Leslie-Gower Model with Simplified Holling Type IV Functional Response</dc:title>
	<dc:creator xml:lang="en">Ramadhani, Nur Suci</dc:creator>
	<dc:creator xml:lang="en">Toaha, Toaha</dc:creator>
	<dc:creator xml:lang="en">Kasbawati, Kasbawati</dc:creator>
	<dc:subject xml:lang="en">Predator-Prey</dc:subject>
	<dc:subject xml:lang="en">Modified Leslie-Gower Model</dc:subject>
	<dc:subject xml:lang="en">Functional Response</dc:subject>
	<dc:subject xml:lang="en">Simplified Holling Type IV</dc:subject>
	<dc:subject xml:lang="id">Mangsa-Pemangsa</dc:subject>
	<dc:subject xml:lang="id">Modifikasi Model Leslie-Gower</dc:subject>
	<dc:subject xml:lang="id">Fungsi Respon</dc:subject>
	<dc:subject xml:lang="id">Holling Tipe IV yang disederhanakan</dc:subject>
	<dc:description xml:lang="en">In this paper, the modified Leslie-Gower predator-prey model with simplified Holling type IV functional response is discussed. It is assumed that the prey population is a dangerous population. The equilibrium point of the model and the stability of the coexistence equilibrium point are analyzed. The simulation results show that both prey and predator populations will not become extinct as time increases. When the prey population density increases, there is a decrease in the predatory population density because the dangerous prey population has a better ability to defend itself from predators when the number is large enough.</dc:description>
	<dc:description xml:lang="id">Dalam tulisan ini dibahas modifikasi model mangsa pemangsa Leslie-Gower dan fungsi respon Holling tipe IV yang disederhanakan. Diasumsikan bahwa populasi mangsa adalah populasi yang berbahaya. Titik-titik kesetimbangan model dan kestabilan dari titik kesetimbangan koeksistensi dianalisis. Selanjutnya, dilakukan simulasi numerik pada titik kesetimbangan koeksistensi. Hasil simulasi menunjukkan bahwa kedua populasi mangsa dan pemangsa tidak akan punah pada saat waktu semakin membesar. Pada saat kepadatan populasi mangsa meningkat terjadi penurunan terhadap kepadatan populasi pemangsa karena populasi mangsa yang berbahaya memiliki kemampuan yang lebih baik untuk mempertahankan diri dari pemangsa ketika jumlahnya cukup besar.</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>
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	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/13881</dc:identifier>
	<dc:identifier>10.20956/j.v18i1.13881</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 18 No. 1 (2021): September 2021; 12-21</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/13881/7284</dc:relation>
	<dc:relation>10.20956/j.v18i1.13881.g7284</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>
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