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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) · pp. 146–154

DOI
10.37905/jjbm.v4i2.21480
ISSN
2723-0317
Published
2023-12-31
Publisher
Department of Mathematics, Universitas Negeri Gorontalo
Language
eng
License
creativecommons.org/licenses/by-nc/4.0

Abstract

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.

Keywords

Collaboration network of the authors

26 authors · 79 co-authorship links · 1 across different organisations

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

  • Sambalpur University Institute of Information Technology
  • R.V. College of Engineering
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Md. Haider Ali BiswasAffiliation unknown3
Aktar SaikhAffiliation unknown2
Ashish MorAffiliation unknown2
Prativa SatpathySambalpur University Institute of Information Technology1
Jagamohan PadhiSambalpur University Institute of Information Technology1
Muliadi MuliadiAffiliation unknown1
Shamim Al MamunAffiliation unknown1
Tanmoy Roy TusherAffiliation unknown1
Md Sirajul IslamAffiliation unknown1
Dhurbo Ronjon RoyAffiliation unknown1
Bikash Chandra SarkerAffiliation unknown1
K. RameshR.V. College of Engineering1
G. Ranjith KumarAffiliation unknown1
Shefali MozumderAffiliation unknown1
F M Jamil UddinAffiliation unknown1
Md Abdur Rahman SarkarAffiliation unknown1
Md Harun RashidAffiliation unknown1
Swapan Kumar PaulAffiliation unknown1
Shubroto Kumar SarkarAffiliation unknown1
Md Anowarul HaqueAffiliation 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) http://ejurnal.ung.ac.id/index.php/JJBM/oai, first harvested 9 Nov 2026, last seen 9 Nov 2026.
Original metadata (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>