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Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans

Citation

Hadley, S and Forbes, LK, Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans, Journal of Applied Mathematics, 2009, (Article ID 575047) EJ ISSN 1110-757X (2009) [Refereed Article]


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Copyright Statement

Copyright 2009 Hindawi Publishing Corporation

Official URL: http://www.hindawi.com/journals/jam/2009/575047.ht...

DOI: doi:10.1155/2009/575047

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
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:60726
Year Published:2009
Web of Science® Times Cited:3
Deposited By:Mathematics
Deposited On:2010-02-17
Last Modified:2015-01-27
Downloads:267 View Download Statistics

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