Please use this identifier to cite or link to this item:
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 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Lou_Intra-Specific_Competition_Insect.pdf | Pre-Published version | 152.02 kB | Adobe PDF | View/Open |
Access
View full-text via PolyU eLinks 
Page views
64
Last Week
0
0
Last month
Citations as of Nov 26, 2023
Downloads
15
Citations as of Nov 26, 2023
SCOPUSTM
Citations
5
Last Week
0
0
Last month
Citations as of Nov 23, 2023
WEB OF SCIENCETM
Citations
5
Last Week
0
0
Last month
Citations as of Nov 30, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.