Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/70839
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Gourley, SA | en_US |
dc.creator | Liu, R | en_US |
dc.creator | Lou, Y | en_US |
dc.date.accessioned | 2017-12-28T06:18:16Z | - |
dc.date.available | 2017-12-28T06:18:16Z | - |
dc.identifier.issn | 0308-2105 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/70839 | - |
dc.language.iso | en | en_US |
dc.publisher | Cambridge University Press | en_US |
dc.rights | This article has been published in a revised form in Proceedings of the Royal Society of Edinburgh Section A: Mathematics http://doi.org/10.1017/S0308210516000159. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © 2017 The Royal Society of Edinburgh. | en_US |
dc.rights | When citing an Accepted Manuscript or an earlier version of an article, the Cambridge University Press requests that readers also cite the Version of Record with a DOI link. The article is subsequently published in revised form in Proceedings of the Royal Society of Edinburgh Section A: Mathematics https://dx.doi.org/10.1017/S0308210516000159. | en_US |
dc.subject | Competition | en_US |
dc.subject | Delay | en_US |
dc.subject | Size-structure | en_US |
dc.subject | Stability | en_US |
dc.subject | Boundedness | en_US |
dc.title | Intra-specific competition and insect larval development : a model with time-dependent delay | en_US |
dc.type | Conference Paper | en_US |
dc.identifier.spage | 353 | en_US |
dc.identifier.epage | 369 | en_US |
dc.identifier.volume | 147 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.doi | 10.1017/S0308210516000159 | en_US |
dcterms.abstract | We derive a stage-structured model for an insect population in which a larva matures on reaching a certain size, and in which there is intra-specific competition among larvae that hinders their development, thereby prolonging the larval phase. The model, a system of delay differential equations for the total numbers of adults and larvae, assumes two forms. One of these is a system with a variable state-dependent time delay determined by a threshold condition, the other has constant and distributed delays, a size-like independent variable replacing time t, and no threshold condition. We prove theorems on boundedness and on the linear stability of equilibria. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Proceedings of the Royal Society of Edinburgh. Section A : mathematics, Apr. 2017, v. 147, no. 2, p. 353-369 | en_US |
dcterms.isPartOf | Proceedings of the Royal Society of Edinburgh. Section A : mathematics | en_US |
dcterms.issued | 2017-04 | - |
dc.identifier.isi | WOS:000398087300007 | - |
dc.identifier.ros | 2016002022 | - |
dc.identifier.eissn | 1473-7124 | en_US |
dc.identifier.rosgroupid | 2016001985 | - |
dc.description.ros | 2016-2017 > Academic research: refereed > Publication in refereed journal | en_US |
dc.description.validate | 202208 bcrc | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | AMA-0499 | - |
dc.description.fundingSource | Self-funded | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 6718934 | - |
Appears in Collections: | Conference Paper |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Lou_Intra-Specific_Competition_Insect.pdf | Pre-Published version | 152.02 kB | Adobe PDF | View/Open |
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