Fractional modeling of plankton-oxygen dynamics under climate change by the application of a recent numerical algorithm

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dc.contributor.authorKumar, Pushpendra
dc.contributor.authorSuat Erturk, Vedat
dc.contributor.authorBanerjee, Ramashis
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorGovindaraj, V
dc.date.accessioned2024-02-23T14:20:46Z
dc.date.available2024-02-23T14:20:46Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractThis research work is dedicated to studying the dynamics of a coupled plankton-oxygen model in the framework of three non-linear differential equations. As we know that the ocean dynamics have a firm impact on the global climate change and on the creation of the environment. Also, it is recorded that about 70% of the environmental oxygen is manufactured in the oceans due to the photosynthetic bustling of phytoplankton. All the same, the rate of oxygen manufacture based on the temperature of the water and hence can be dominance by global warming. To study the proposed Oxygen-Phytoplankton-Zooplankton system, we use a very recent fractional numerical algorithm. We discuss the existence of the solution for the given model problem because in the case of fractional-order models, the proof of solution existence always becomes an important task. After that, we perform many novel 2-D and 3-D graphs by using Mathematica and Python software to fulfill the requirements of the numerical simulations. We use a generalised form of the well known Liouville-Caputo fractional derivative. Given numerical algorithm is very recent, short, easy, and reliable to use or to apply to the non-linear dynamical models. The main motive of this research work is to study the Plankton-Oxygen dynamics under the climate change by using the proposed fractional-order model with capturing the memory effects and discuss some novel results for the literature on such ecological topics.en_US
dc.identifier.doi10.1088/1402-4896/ac2da7
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85118544003en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1088/1402-4896/ac2da7
dc.identifier.urihttps://hdl.handle.net/20.500.12452/13306
dc.identifier.volume96en_US
dc.identifier.wosWOS:000709554600001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIop Publishing Ltden_US
dc.relation.ispartofPhysica Scriptaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPhytoplanktonen_US
dc.subjectOxygen Depletionen_US
dc.subjectGlobal Warmingen_US
dc.subjectMathematical Modelen_US
dc.subjectNew Generalised Caputo Fractional Derivativeen_US
dc.subjectNumerical Algorithmen_US
dc.titleFractional modeling of plankton-oxygen dynamics under climate change by the application of a recent numerical algorithmen_US
dc.typeArticleen_US

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