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http://hdl.handle.net/10397/70839
Title: | Intra-specific competition and insect larval development : a model with time-dependent delay | Authors: | Gourley, SA Liu, R Lou, Y |
Issue Date: | Apr-2017 | Source: | Proceedings of the Royal Society of Edinburgh. Section A : mathematics, Apr. 2017, v. 147, no. 2, p. 353-369 | 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. | Keywords: | Competition Delay Size-structure Stability Boundedness |
Publisher: | Cambridge University Press | Journal: | Proceedings of the Royal Society of Edinburgh. Section A : mathematics | ISSN: | 0308-2105 | EISSN: | 1473-7124 | DOI: | 10.1017/S0308210516000159 | 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. 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. |
Appears in Collections: | Conference Paper |
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Lou_Intra-Specific_Competition_Insect.pdf | Pre-Published version | 152.02 kB | Adobe PDF | View/Open |
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