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http://hdl.handle.net/1893/1628| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | Linear stability and positivity results for a generalized size-structured Daphnia model with inflow§ |
| Author(s): | Farkas, Jozsef Zoltan Hagen, Thomas |
| Contact Email: | jzf@maths.stir.ac.uk |
| Keywords: | Predator-prey interaction structured population dynamics semigroup methods Daphnia Daphnia Population dynamics |
| Issue Date: | Sep-2007 |
| Date Deposited: | 21-Sep-2009 |
| Citation: | Farkas 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/10.1080/00036810701545634 |
| Abstract: | We 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. |
| URL: | http://www.informaworld.com/smpp/content~db=all~content=a782010393 |
| DOI Link: | 10.1080/00036810701545634 |
| Rights: | Published 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=1087 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Daphnia-AA-revised3-Stirling.pdf | Fulltext - Accepted Version | 231.61 kB | Adobe PDF | View/Open |
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