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2009 Dynamical Systems Analysis of a Five-Dimensional Trophic Food Web Model in the Southern Oceans
Scott A. Hadley, Lawrence K. Forbes
J. Appl. Math. 2009: 1-17 (2009). 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.

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Scott A. Hadley. Lawrence K. Forbes. "Dynamical Systems Analysis of a Five-Dimensional Trophic Food Web Model in the Southern Oceans." J. Appl. Math. 2009 1 - 17, 2009. https://doi.org/10.1155/2009/575047

Information

Published: 2009
First available in Project Euclid: 2 March 2010

zbMATH: 1196.37125
Digital Object Identifier: 10.1155/2009/575047

Rights: Copyright © 2009 Hindawi

Vol.2009 • 2009
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