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Dynamical systems analysis of a five-dimensional trophic food web model in the Southern Oceans
Citation
Hadley, SA and Forbes, LK, Dynamical systems analysis of a five-dimensional trophic food web model in the Southern Oceans, Journal of Applied Mathematics, 2009 Article 575047. ISSN 1110-757X (2009) [Refereed Article]
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Copyright Statement
Copyright 2009 S.A. Hadley and L.K. Forbes Licensed under Creative Commons Attribution 3.0 Unported (CC BY 3.0) https://creativecommons.org/licenses/by/3.0/
Abstract
A theoretical model developed by Stone describing a three-level trophic system in the Ocean is
analysed. The system consists of two distinct predator-prey networks, linked by competition for
nutrients at the lowest level. There is also an interaction at the level of the two preys, in the sense
that the presence of one is advantageous to the other when nutrients are low. It is shown that
spontaneous oscillations in population numbers are possible, and that they result from a Hopf
bifurcation. The limit cycles are analysed using Floquet theory and are found to change from stable
to unstable as a solution branch is traversed.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | dynamical Systems, NPDZ, food web |
| 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 |
| Author: | Forbes, LK (Professor Larry Forbes) |
| ID Code: | 114270 |
| Year Published: | 2009 |
| Web of Science® Times Cited: | 3 |
| Deposited By: | Sustainable Marine Research Collaboration |
| Deposited On: | 2017-02-09 |
| Last Modified: | 2017-11-21 |
| Downloads: | 20 View Download Statistics |
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