Dynamics exploration for a fractional-order delayed zooplankton-phytoplankton system

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dc.contributor.authorLi, Peiluan
dc.contributor.authorGao, Rong
dc.contributor.authorXu, Changjin
dc.contributor.authorLi, Ying
dc.contributor.authorAkgul, Ali
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-12-24T19:25:27Z
dc.date.available2024-12-24T19:25:27Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, we are concerned with the dynamics of a new established fractional-order delayed zooplankton- phytoplankton system. The existence and uniqueness of the solution are proved via Banach fixed point theorem. Non-negativeness of the solution is studied by mathematical inequality technique. The boundedness of the solution is analyzed by virtue of constructing an appropriate function. A novel delay-independent sufficient condition ensuring the stability and the onset of Hopf bifurcation for the established fractional -order delayed zooplankton-phytoplankton system is derived by means of Laplace transform, stability criterion and bifurcation knowledge of fractional-order differential equation. The global stability condition for the involved fractional-order delayed zooplankton-phytoplankton system is built by using a suitable positive definite function. Taking advantage of hybrid control tactics, we effectively control the time of occurrence of Hopf bifurcation for the established fractional-order delayed zooplankton-phytoplankton system. The study manifests that delay plays a vital role in controlling the stability and the time of occurrence of Hopf bifurcation for the involved fractional-order delayed zooplankton-phytoplankton system and the fractional -order controlled zooplankton-phytoplankton system involving delays. To verify the correctness of established chief results, computer simulation figures are distinctly displayed. The derived conclusions of this research are entirely new and possess potential theoretical value in preserving the balance of biological population. Up to now, there are few publications on detailed and comprehensive dynamic analysis on fractional-order delayed zooplankton-phytoplankton system via various exploration ways.
dc.description.sponsorshipNational Natural Science Foundation of China [12261015, 62062018]; Project of High-level Innovative Talents of Guizhou Province, China [201615651]; Guizhou Key Laboratory of Big Data Statistical Analysis, China [201915103]
dc.description.sponsorshipThis work is supported by National Natural Science Foundation of China (No. 12261015, No. 62062018) , Project of High-level Innovative Talents of Guizhou Province, China ( [201615651) and Guizhou Key Laboratory of Big Data Statistical Analysis, China (No. [201915103) . The authors would like to thank the referees and the editor for helpful suggestions incorporated into this paper.
dc.identifier.doi10.1016/j.chaos.2022.112975
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85145664127
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2022.112975
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6420
dc.identifier.volume166
dc.identifier.wosWOS:000992348000001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectFractional-order zooplankton-phytoplankton
dc.subjectsystem
dc.subjectExistence and uniqueness
dc.subjectNon-negativeness
dc.subjectBoundedness
dc.subjectStability
dc.subjectHopf bifurcation
dc.subjectHybrid control
dc.titleDynamics exploration for a fractional-order delayed zooplankton-phytoplankton system
dc.typeArticle

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