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dc.contributor.authorBergland, Harald
dc.contributor.authorMishra, Purnedu
dc.contributor.authorPedersen, Pål Andreas
dc.contributor.authorPonossov, Arkadi
dc.contributor.authorWyller, John Andreas
dc.date.accessioned2022-12-09T11:30:33Z
dc.date.available2022-12-09T11:30:33Z
dc.date.issued2022-11-30
dc.description.abstractWe analyze the impacts of pollution on fishery sectorusing a dynamical system approach. The proposedmodel presupposes that the economic developmentcauses emissions that either remediate or accumulatein the oceans. The model possesses a block structurewhere the solutions of the rate equations for thepollutant and the economic activity act as an input forthe biomass and effort equation. We also account fordistributed delay effects in both the pollution level andthe economic activity level in our modeling framework.The weight functions in the delay terms are expressedin terms of exponentially decaying functions, which inturn enable us to convert the modeling framework to ahigher‐order autonomous dynamical system by meansof a linear chain trick. When both the typical delaytime for the economic activity and the typical delaytime for the pollution level are much smaller than thebiomass time scale, the governing system is analyzedby means of the theory for singularly perturbeddynamical systems. Contrary to what is found forpopulation dynamical systems with absolute delays, wereadily find that the impact of the distributed time lags is negligible in the long‐run dynamics in this time‐scaleseparation regime.en_US
dc.identifier.citationBergland H, Mishra P, Pedersen P, Ponossov A, Wyller J. Time Delays and Pollution in an Open Access Fishery. Natural Resource Modeling. 2022:1-39en_US
dc.identifier.cristinIDFRIDAID 2075979
dc.identifier.doihttps://doi.org/10.1111/nrm.12363
dc.identifier.issn0890-8575
dc.identifier.issn1939-7445
dc.identifier.urihttps://hdl.handle.net/10037/27757
dc.language.isoengen_US
dc.publisherWileyen_US
dc.relation.journalNatural Resource Modeling
dc.relation.urihttps://onlinelibrary.wiley.com/doi/epdf/10.1111/nrm.12363?utm_source=google&utm_medium=paidsearch&utm_campaign=R3MR425&utm_content=MathStat
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2022 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.titleTime Delays and Pollution in an Open Access Fisheryen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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Attribution 4.0 International (CC BY 4.0)
Med mindre det står noe annet, er denne innførselens lisens beskrevet som Attribution 4.0 International (CC BY 4.0)