eCite Digital Repository

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]


Preview
PDF
Restricted - Request a copy
579Kb
  

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
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

Repository Staff Only: item control page