2009-20-Maths-Hadley-Forbes.pdf (749.39 kB)
Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans
journal contribution
posted on 2023-05-17, 01:23 authored by Scott HadleyScott Hadley, Lawrence ForbesLawrence ForbesA 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.
History
Publication title
Journal of Applied MathematicsVolume
2009Issue
Article ID 575047Pagination
1-17ISSN
1110-757XDepartment/School
Institute for Marine and Antarctic StudiesPublisher
Hindawi Publishing CorpPlace of publication
Unites StatesRights statement
Copyright © 2009 Hindawi Publishing CorporationRepository Status
- Open