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

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 forci...

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Bibliographic Details
Published in:ANZIAM Journal
Main Authors: Hadley, SA, Forbes, LK
Format: Article in Journal/Newspaper
Language:English
Published: Cambridge University Press 2009
Subjects:
Mathematical Sciences
Applied Mathematics
Biological Mathematics
Southern Ocean
Online Access:https://doi.org/10.21914/anziamj.v50i0.1111
http://ecite.utas.edu.au/114269
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Summary: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.

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