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Delay induced nonlinear dynamics of oxygen-plankton interactions

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dc.contributor.author Gokce, Aytul
dc.contributor.author Sekerci, Yadigar
dc.contributor.author Yazar, Samire
dc.date.accessioned 2022-08-17T05:22:45Z
dc.date.available 2022-08-17T05:22:45Z
dc.date.issued 2020
dc.identifier.uri http://doi.org/10.1016/j.chaos.2020.110327
dc.identifier.uri http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2259
dc.description.abstract The 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.iso eng en_US
dc.publisher PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND en_US
dc.relation.isversionof 10.1016/j.chaos.2020.110327 en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Time delay; Oxygen-plankton system; Stability analysis; Hopf bifurcation; Prey-predator interactions en_US
dc.title Delay induced nonlinear dynamics of oxygen-plankton interactions en_US
dc.type article en_US
dc.relation.journal CHAOS SOLITONS & FRACTALS en_US
dc.contributor.department Ordu Üniversitesi en_US
dc.contributor.authorID 0000-0002-1125-3631 en_US
dc.contributor.authorID 0000-0003-1421-3966 en_US
dc.identifier.volume 141 en_US


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