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dc.contributor.authorChristou, Cameron N.en
dc.contributor.authorIdels, Leven
dc.date.accessioned2015-12-18T22:27:26Z
dc.date.available2015-12-18T22:27:26Z
dc.date.issued2012-05-14
dc.identifier.citationChristou, C.N. & Idels, L.V. (2012). Bioeconomical Ricker’s model of marine protected areas. Electronic Journal of Differential Equations, 2012(76), 1-11.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttp://hdl.handle.net/10613/2617
dc.description.abstractMarine protected areas (MPA) become part of modern fishery management to safeguard marine life and sustain ecosystem processes. Based on a classical Ricker's model, the deterministic nonlinear sink-source model of MPA is presented. Sufficient conditions for the existence of positive bounded steady-states are obtained. The present value of net revenue is maximized subject to population dynamics in the fishing zone and in the protected area. The analysis has shown that there is an optimal equilibrium solution, and the best harvesting policy to attain this equilibrium position is a bang-bang control effort. It was demonstrated numerically by comparing the optimal harvesting rate against a constant harvesting rate, and the fast convergence to the optimal equilibrium guarantees greater profits under the optimal harvesting strategy.en_US
dc.format.extent11 pg.en
dc.format.mediumtexten
dc.format.mimetypeapplication/pdfen
dc.language.isoenen_US
dc.publisherDepartment of Mathematics, Texas State Universityen_US
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subject.lcshMarine parks and reservesen
dc.subject.lcshDifferential equations, Nonlinearen
dc.subject.lcshBiology--Mathematical modelsen
dc.subject.otherMarine protected areasen
dc.subject.otherSource-sink modelsen
dc.subject.otherFishery modelsen
dc.subject.otherBioeconomical analysisen
dc.subject.otherPontryagin's maximum principleen
dc.subject.otherDynamical systems in biologyen
dc.titleBioeconomical Ricker's model of marine protected areasen_US
dc.typeArticleen_US
dc.description.noteThis is an electronic version of an article published as: Christou, C.N. & Idels, L.V. (2012). Bioeconomical Ricker’s model of marine protected areas. Electronic Journal of Differential Equations, 2012(76), 1‐11. Electronic Journal of Differential Equations is available online at: http://ejde.math.txstate.edu/ and this article is available at: http://ejde.math.txstate.edu/Volumes/2012/76/christou.pdfen
dc.description.fulltexthttps://viuspace.viu.ca/bitstream/handle/10613/2617/Idels.EJDE.Ricker's.pdf?sequence=3en


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Attribution 4.0 International
Except where otherwise noted, this item's license is described as Attribution 4.0 International