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NONLINEAR TRACKING CONTROL FOR PREY STABILIZATION IN PREDATOR-PREY MODEL USING BACKSTEPPING

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 3 (2025) · hlm. 1825–1840

DOI
10.30598/barekengvol19iss3pp1825-1840
ISSN
2615-3017, 1978-7227
Terbit
2025-07-01
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

The common method used in population dynamics is optimal control, which employs Pontryagin’s minimum principle. This method minimizes costs, with the constraint function being the model dynamics. Unfortunately, if the main objective of the control function is to modify the population’s behavior to follow a specific pattern, this method is challenging to apply. This article introduces a control function to the predator-prey model for the tracking problem using the backstepping method. The control function drives the population from the initial value towards the given trajectory. The goal is to maintain the balance between predator and prey populations in the habitat, with the chosen trajectory being the equilibrium point. The application of backstepping to the predator-prey model is combined with input-output feedback linearization to obtain a normal form, enabling the implementation of backstepping. Simulation results show that the controller successfully drives the predator-prey populations toward the equilibrium point with a relatively small control function and excellent performance.

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32 penulis · 59 tautan kepenulisan bersama · 27 lintas organisasi

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  • Bandung Institute of Technology
  • Riau University
  • Telkom University
  • Institut Teknologi Del
  • Institut Teknologi Telkom Purwokerto
  • Sekolah Tinggi Agama Islam Negeri Sultan Abdurrahman Kepulauan Riau
  • Universitas Muhammadiyah Prof Dr Hamka
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Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Dewi SuhikaBandung Institute of Technology4
Mochamad ApriBandung Institute of Technology4
Tegar Arifin PrasetyoInstitut Teknologi Del2
Aminatus Sa’adahInstitut Teknologi Telkom Purwokerto2
Suhono Harso SupangkatBandung Institute of Technology1
Sinung SuakantoTelkom University1
Suhardi SuhardiBandung Institute of Technology1
Supriadi PutraRiau University1
Sukma Adi PerdanaSekolah Tinggi Agama Islam Negeri Sultan Abdurrahman Kepulauan Riau1
Audri Utami GunadiBandung Institute of Technology1
Ria Nurlita RachmawatiBandung Institute of Technology1
Susilo SusiloMulawarman University1
Gufron AmirullahUniversitas Muhammadiyah Prof Dr Hamka1
Rizkia SuciatiState University of Malang1
Hanna Hilyati AuliaUniversitas Islam Negeri Jurai Siwo Lampung1
Dewi HandayaniBandung Institute of Technology1
B. RiyantoBandung Institute of Technology1
Fatmawati FatmawatiUniversitas Airlangga1
Yudi SoeharyadiBandung Institute of Technology1
Bambang RiyantoBandung Institute of Technology1
Widowati WidowatiState University of Semarang1
Rieske HadiantiBandung Institute of Technology1
L. DahliantiniBandung Institute of Technology1
Nurliana NurlianaAfiliasi tidak diketahui1
Roma WijayaAnkara University1
Dian Permata SariAfiliasi tidak diketahui1
Arifuddin M. ArifAfiliasi tidak diketahui1
Yati AfiyantiUniversity of Indonesia1

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) 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">NONLINEAR TRACKING CONTROL FOR PREY STABILIZATION IN PREDATOR-PREY MODEL USING BACKSTEPPING</dc:title>
	<dc:creator>Mu`tamar, Khozin</dc:creator>
	<dc:creator>Naiborhu, Janson</dc:creator>
	<dc:creator>Saragih, Roberd</dc:creator>
	<dc:creator>Handayani, Dewi</dc:creator>
	<dc:description xml:lang="en-US">The common method used in population dynamics is optimal control, which employs Pontryagin’s minimum principle. This method minimizes costs, with the constraint function being the model dynamics. Unfortunately, if the main objective of the control function is to modify the population’s behavior to follow a specific pattern, this method is challenging to apply. This article introduces a control function to the predator-prey model for the tracking problem using the backstepping method. The control function drives the population from the initial value towards the given trajectory. The goal is to maintain the balance between predator and prey populations in the habitat, with the chosen trajectory being the equilibrium point. The application of backstepping to the predator-prey model is combined with input-output feedback linearization to obtain a normal form, enabling the implementation of backstepping. Simulation results show that the controller successfully drives the predator-prey populations toward the equilibrium point with a relatively small control function and excellent performance.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-07-01</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/16931</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss3pp1825-1840</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application; 1825-1840</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss3year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/16931/10709</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Khozin Mu`tamar, Janson Naiborhu, Roberd Saragih, Dewi Handayani</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
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