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Dynamical systems analysis of a two-level trophic food web in the Southern Ocean

Citation

Hadley, SA and Forbes, LK, Dynamical systems analysis of a two-level trophic food web in the Southern Ocean, ANZIAM Journal, 50 pp. E24-E55. ISSN 1446-8735 (2009) [Refereed Article]

Copyright Statement

Copyright Austral. Mathematical Soc. 2009.

DOI: doi:10.21914/anziamj.v50i0.1111

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
Keywords:food web, NPDZ, dynamical systems
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:Hadley, SA (Mr Scott Hadley)
Author:Forbes, LK (Professor Larry Forbes)
ID Code:114269
Year Published:2009
Deposited By:Sustainable Marine Research Collaboration
Deposited On:2017-02-09
Last Modified:2017-03-09
Downloads:0

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