Dynamical Systems Analysis of a Five-Dimensional Trophic Food Web Model in the Southern Oceans
Joint Authors
Forbes, Lawrence K.
Hadley, Scott A.
Source
Journal of Applied Mathematics
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-16
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hadley, Scott A.& Forbes, Lawrence K.. 2010. Dynamical Systems Analysis of a Five-Dimensional Trophic Food Web Model in the Southern Oceans. Journal of Applied Mathematics،Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-482006
Modern Language Association (MLA)
Hadley, Scott A.& Forbes, Lawrence K.. Dynamical Systems Analysis of a Five-Dimensional Trophic Food Web Model in the Southern Oceans. Journal of Applied Mathematics No. 2009 (2009), pp.1-17.
https://search.emarefa.net/detail/BIM-482006
American Medical Association (AMA)
Hadley, Scott A.& Forbes, Lawrence K.. Dynamical Systems Analysis of a Five-Dimensional Trophic Food Web Model in the Southern Oceans. Journal of Applied Mathematics. 2010. Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-482006
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482006