Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/43743
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorFang, Jen_US
dc.creatorGourley, SAen_US
dc.creatorLou, Yen_US
dc.date.accessioned2016-06-07T06:23:09Z-
dc.date.available2016-06-07T06:23:09Z-
dc.identifier.issn0022-0396en_US
dc.identifier.urihttp://hdl.handle.net/10397/43743-
dc.language.isoenen_US
dc.publisherAcademic Pressen_US
dc.rights©2015 Elsevier Inc. All rights reserved.en_US
dc.rights© 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.en_US
dc.rightsThe following publication Fang, J., Gourley, S. A., & Lou, Y. (2016). Stage-structured models of intra- and inter-specific competition within age classes. Journal of Differential Equations, 260(2), 1918-1953 is available at https://doi.org/10.1016/j.jde.2015.09.048.en_US
dc.subjectCompetitionen_US
dc.subjectDelayen_US
dc.subjectExponential orderingen_US
dc.subjectMonotone systemen_US
dc.subjectStage structureen_US
dc.titleStage-structured models of intra- and inter-specific competition within age classesen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage1918en_US
dc.identifier.epage1953en_US
dc.identifier.volume260en_US
dc.identifier.issue2en_US
dc.identifier.doi10.1016/j.jde.2015.09.048en_US
dcterms.abstractIn some species, larvae and adults experience competition in completely different ways. Simple stage-structured models without larval competition usually yield a single delay equation for the adults. Using an age structured system incorporating competition among both larvae and adults, we derive a system of distributed delay equations for the numbers of larvae and adults. The system is neither cooperative nor reducible to a single equation for either variable. Positivity, boundedness and uniform strong persistence are established. Linear stability analysis of equilibria is difficult due to the strong coupling, but results are proved for small delays using monotone systems theory and exponential ordering. For small delay we prove a theorem on generic convergence to equilibria, which does not directly follow from standard theory but can be proved indirectly using comparison arguments. Finally, we consider an extension to two-strain competition and prove theorems on the linear stability of the boundary equilibria.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationJournal of differential equations, 15 Jan. 2016, v. 260, no. 2, p. 1918-1953en_US
dcterms.isPartOfJournal of differential equationsen_US
dcterms.issued2016-01-15-
dc.identifier.isiWOS:000373536400035-
dc.identifier.scopus2-s2.0-84947866134-
dc.identifier.rosgroupid2015002537-
dc.description.ros2015-2016 > Academic research: refereed > Publication in refereed journalen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumbera0853-n02-
dc.identifier.SubFormID2059-
dc.description.fundingSourceRGCen_US
dc.description.fundingTextPolyU 253004/14Pen_US
dc.description.pubStatusPublisheden_US
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