Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2259
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dc.contributor.authorGokce, Aytul-
dc.contributor.authorSekerci, Yadigar-
dc.contributor.authorYazar, Samire-
dc.date.accessioned2022-08-17T05:22:45Z-
dc.date.available2022-08-17T05:22:45Z-
dc.date.issued2020-
dc.identifier.urihttp://doi.org/10.1016/j.chaos.2020.110327-
dc.identifier.urihttp://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2259-
dc.description.abstractThe present investigation deals with a generic oxygen-plankton model with constant time delays using the combinations of analytical and numerical methods. First, a two-component delayed model: the interaction between the concentration of dissolved oxygen and the density of the phytoplankton is examined in terms of the local stability and Hopf bifurcation analysis around the positive steady state. Then, a three-component model (oxygen-phytoplankton-zooplankton system) is investigated. The prime objective of this trio model is to explore how a constant time delay in growth response of phytoplankton and in the gestation time of zooplankton affects the dynamics of interaction between the concentration of oxygen and the density of plankton. The analytical and numerical investigations reveal that the positive steady states for both models are stable in the absence of time delays for a given hypothetical parameter space. Analysing eigenvalues of the characteristic equation which depends on the delay parameters, the conditions for linear stability and the existence of delay-induced Hopf bifurcation threshold are studied for all possible cases. As the delay rate increases, stability of coexistence state switches from stable to unstable. To support the analytical results, detailed numerical simulations are performed. Our findings show that time delay has a significant impact on the dynamics and may provide useful insights into underlying ecological oxygen-plankton interactions. (C) 2020 Published by Elsevier Ltd.en_US
dc.language.isoengen_US
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLANDen_US
dc.relation.isversionof10.1016/j.chaos.2020.110327en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTime delay; Oxygen-plankton system; Stability analysis; Hopf bifurcation; Prey-predator interactionsen_US
dc.titleDelay induced nonlinear dynamics of oxygen-plankton interactionsen_US
dc.typearticleen_US
dc.relation.journalCHAOS SOLITONS & FRACTALSen_US
dc.contributor.departmentOrdu Üniversitesien_US
dc.contributor.authorID0000-0002-1125-3631en_US
dc.contributor.authorID0000-0003-1421-3966en_US
dc.identifier.volume141en_US
Appears in Collections:Matematik

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