File(s) under permanent embargo
Dynamical systems analysis of a two level trophic food web in the Southern Oceans
journal contribution
posted on 2023-05-16, 23:56 authored by Hadley, S, Lawrence ForbesLawrence ForbesA 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.
History
Publication title
ANZIAM JournalVolume
50Issue
Electronic SupplementPagination
E24-E55ISSN
1446-8735Department/School
School of Natural SciencesPublisher
Cambridge University PressPlace of publication
Cambridge, EnglandRights statement
Copyright © 2008 Australian Mathematical SocietyRepository Status
- Restricted