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Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/1628
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dc.contributor.authorFarkas, Jozsef Zoltanen_UK
dc.contributor.authorHagen, Thomasen_UK
dc.date.accessioned2013-06-09T02:55:23Z-
dc.date.available2013-06-09T02:55:23Z-
dc.date.issued2007-09en_UK
dc.identifier.urihttp://hdl.handle.net/1893/1628-
dc.description.abstractWe employ semigroup and spectral methods to analyze the linear stability of positive stationary solutions of a generalized size-structured Daphnia model. Using the regularity properties of the governing semigroup, we are able to formulate a general stability condition which permits an intuitively clear interpretation in a special case of model ingredients. Moreover, we derive a comprehensive instability criterion that reduces to an elegant instability condition for the classical Daphnia population model in terms of the inherent net reproduction rate of Daphnia individuals.en_UK
dc.language.isoenen_UK
dc.publisherTaylor & Francisen_UK
dc.relationFarkas JZ & Hagen T (2007) Linear stability and positivity results for a generalized size-structured Daphnia model with inflow§. Applicable Analysis, 86 (9), pp. 1087-1103. http://www.informaworld.com/smpp/content~db=all~content=a782010393; https://doi.org/10.1080/00036810701545634en_UK
dc.rightsPublished in Applicable Analysis by Taylor & Francis.; This is an electronic version of an article published in Applicable Analysis, Volume 86, Issue 9, September 2007, pp. 1087 - 1103. Applicable Analysis is available online at: http://www.informaworld.com/openurl?genre=article&issn=0003-6811 &volume=86&issue=9&spage=1087en_UK
dc.subjectPredator-prey interactionen_UK
dc.subjectstructured population dynamicsen_UK
dc.subjectsemigroup methodsen_UK
dc.subjectDaphniaen_UK
dc.subjectDaphniaen_UK
dc.subjectPopulation dynamicsen_UK
dc.titleLinear stability and positivity results for a generalized size-structured Daphnia model with inflow§en_UK
dc.typeJournal Articleen_UK
dc.identifier.doi10.1080/00036810701545634en_UK
dc.citation.jtitleApplicable Analysisen_UK
dc.citation.issn1563-504Xen_UK
dc.citation.issn0003-6811en_UK
dc.citation.volume86en_UK
dc.citation.issue9en_UK
dc.citation.spage1087en_UK
dc.citation.epage1103en_UK
dc.citation.publicationstatusPublisheden_UK
dc.citation.peerreviewedRefereeden_UK
dc.type.statusAM - Accepted Manuscripten_UK
dc.identifier.urlhttp://www.informaworld.com/smpp/content~db=all~content=a782010393en_UK
dc.author.emailjzf@maths.stir.ac.uken_UK
dc.contributor.affiliationMathematicsen_UK
dc.contributor.affiliationUniversity of Memphisen_UK
dc.identifier.isiWOS:000250809500003en_UK
dc.identifier.wtid829916en_UK
dc.contributor.orcid0000-0002-8794-4834en_UK
dcterms.dateAccepted2007-09-30en_UK
dc.date.filedepositdate2009-09-21en_UK
rioxxterms.typeJournal Article/Reviewen_UK
rioxxterms.versionAMen_UK
local.rioxx.authorFarkas, Jozsef Zoltan|0000-0002-8794-4834en_UK
local.rioxx.authorHagen, Thomas|en_UK
local.rioxx.projectInternal Project|University of Stirling|https://isni.org/isni/0000000122484331en_UK
local.rioxx.freetoreaddate2009-09-21en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/all-rights-reserved|2009-09-21|en_UK
local.rioxx.filenameDaphnia-AA-revised3-Stirling.pdfen_UK
local.rioxx.filecount1en_UK
local.rioxx.source0003-6811en_UK
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