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Dynamical systems analysis of a two level trophic food web in the Southern Oceans
Citation
Hadley, S and Forbes, LK, Dynamical systems analysis of a two level trophic food web in the Southern Oceans, ANZIAM Journal, 50, (Electronic Supplement) pp. E24-E55. ISSN 1446-8735 (2009) [Refereed Article]
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Copyright Statement
Copyright © 2008 Australian Mathematical Society
Official URL: http://anziamj.austms.org.au
Abstract
A theoretical model developed by Stone describing a two level trophic system in the Ocean is analyzed, for the case in which there is unlimited supply of nutrients. We show that spontaneous oscillations in population numbers are possible, but they do not arise from a Hopf bifurcation. Seasonal forcing of the model is also investigated, and it is shown that resonances can occur, in addition to highly non-linear behaviour including high period oscillations, quasi-periodicity and chaos.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Research Division: | Mathematical Sciences |
| Research Group: | Applied mathematics |
| Research Field: | Biological mathematics |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the environmental sciences |
| UTAS Author: | Forbes, LK (Professor Larry Forbes) |
| ID Code: | 57619 |
| Year Published: | 2009 |
| Deposited By: | Mathematics |
| Deposited On: | 2009-07-30 |
| Last Modified: | 2015-01-27 |
| Downloads: | 0 |
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