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Bifurcation analysis of phytoplankton-fish model through parametric control by fish mortality rate and food transfer efficiency

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2023) · hlm. 146–154

DOI
10.37905/jjbm.v4i2.21480
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

An Algae-zooplankton fish model is studied in this article. First the proposed model is evaluated for positive invariance and boundedness. Then,the Routh-Hurwitz parameters and the Lyapunov function are used to determine the presence of a positive interior steady state and the criteria for plankton model stability (both local and global). Taylor's sequence is also used to discuss Hopf bifurcation and the stability of bifurcated periodic solutions. The model's bifurcation analysis reveals that Hopf-bifurcation can occur when mortality rate and food transfer efficiency are used as bifurcation parameters. Finally, we use numerical simulation to validate the analytical results.

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  • Bangladesh Agricultural University
  • National Institute of Food Technology Entrepreneurship and Management
  • Vellore Institute of Technology University
  • Jahangirnagar University
  • Victoria University
  • Aliah University
  • Khulna University
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Rekan penulisOrganisasiArtikel bersama
Md. Haider Ali BiswasKhulna University2
Aktar SaikhAliah University2
Ashish MorNational Institute of Food Technology Entrepreneurship and Management1
M. N. SrinivasVellore Institute of Technology University1
S. N. MozumderBangladesh Agricultural University1
FM Jamil UddinBangladesh Agricultural University1
Md. Abdur Rahman SarkarBangladesh Agricultural University1
Md Harun RashidBangladesh Agricultural University1
Swapan Kumar PaulBangladesh Agricultural University1
Shubroto Kumar SarkarUniversity of Washington1
Md Anowarul HaqueBangladesh Agricultural Research Council1

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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">Bifurcation analysis of phytoplankton-fish model through parametric control by fish mortality rate and food transfer efficiency</dc:title>
	<dc:creator>Das, Kalyan</dc:creator>
	<dc:creator>Madhusudanan, V.</dc:creator>
	<dc:creator>Srinivas, M. N.</dc:creator>
	<dc:creator>Kabir, Md Humayun</dc:creator>
	<dc:creator>Gani, Md Osman</dc:creator>
	<dc:creator>Islam, Sardar M. N.</dc:creator>
	<dc:subject xml:lang="en-US">Phytoplankton; Zooplankton; Stability; Lyapunov Exponent; Hopf-bifurcation</dc:subject>
	<dc:description xml:lang="en-US">An Algae-zooplankton fish model is studied in this article. First the proposed model is evaluated for positive invariance and boundedness. Then,the Routh-Hurwitz parameters and the Lyapunov function are used to determine the presence of a positive interior steady state and the criteria for plankton model stability (both local and global). Taylor's sequence is also used to discuss Hopf bifurcation and the stability of bifurcated periodic solutions. The model's bifurcation analysis reveals that Hopf-bifurcation can occur when mortality rate and food transfer efficiency are used as bifurcation parameters. Finally, we use numerical simulation to validate the analytical results.</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Universitas Negeri Gorontalo</dc:publisher>
	<dc:contributor xml:lang="en-US">Not Applicable</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/21480</dc:identifier>
	<dc:identifier>10.37905/jjbm.v4i2.21480</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 4, Issue 2: December 2023; 146-154</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/21480/7970</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Kalyan Das, V. Madhusudanan, M. N. Srinivas, Md Humayun Kabir, Md Osman Gani, Sardar M. N. Islam</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
</oai_dc:dc>