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dc.contributor.authorBergland, Harald
dc.contributor.authorPedersen, Pål Andreas
dc.contributor.authorWyller, John Andreas
dc.date.accessioned2019-01-29T14:08:59Z
dc.date.available2019-01-29T14:08:59Z
dc.date.issued2018-12-20
dc.description.abstractWe study interactions between fishery and aquaculture using a 3D generalized Lotka–Volterra model, where we assume that the aquaculture production may affect the growth rate in the fish stock and the productivity in harvesting. In addition, input demands from both marine industries may result in effort competition. We identify conditions for the coexistence of a unique equilibrium state inside the first octant of the phase space and equilibrium states on its boundary. Conditions for stability and instability of these states are also given, thus showing the possibility of having bistability. The equilibrium point inside the first octant is stable if the growth impact on fishery from sea farming is below the potential productivity in harvesting. In the complementary case, we have an unstable interior equilibrium, and we may then end up in stable equilibrium states on the boundary, where either the fishery or the aquaculture is wiped out.en_US
dc.description.sponsorshipThe Arctic University of Norway Norwegian University of Life Sciencesen_US
dc.descriptionThis is the pre-peer reviewed version of the following article: Bergland, H., Pedersen, P.A. & Wyller, J. (2018). Stable and unstable equilibrium states in a fishery-aquaculture model. <i>Natural Resource Modeling</i>, which has been published in final form at <a href=https://doi.org/10.1111/nrm.12200> https://doi.org/10.1111/nrm.12200</a>. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.en_US
dc.identifier.citationBergland, H., Pedersen, P.A. & Wyller, J. (2018). Stable and unstable equilibrium states in a fishery-aquaculture model. <i>Natural Resource Modeling</i>. https://doi.org/10.1111/nrm.12200en_US
dc.identifier.cristinIDFRIDAID 1646819
dc.identifier.doi10.1111/nrm.12200
dc.identifier.issn0890-8575
dc.identifier.issn1939-7445
dc.identifier.urihttps://hdl.handle.net/10037/14552
dc.language.isoengen_US
dc.publisherWileyen_US
dc.relation.journalNatural Resource Modeling
dc.relation.projectIDinfo:eu-repo/grantAgreement/RCN/ISPNATTEK/239070/Norway/Mathematical research at Norwegian University of Life Sciences//en_US
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Social science: 200::Economics: 210en_US
dc.subjectVDP::Samfunnsvitenskap: 200::Økonomi: 210en_US
dc.subjectaquacultureen_US
dc.subjectfisheryen_US
dc.subjectstability analysisen_US
dc.subjectsteady stateen_US
dc.titleStable and unstable equilibrium states in a fishery-aquaculture modelen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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