Dynamical Systems Analysis of a Five-Dimensional Trophic Food Web Model in the Southern Oceans

Dynamical Systems Analysis of a Five-Dimensional Trophic Food Web Model in the Southern Oceans

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A theoretical model developed by Stone describing a three-level trophic system in RED OMEGA 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 NEW Neff V6320X1GB 7kg Wash 4kg Dry 1400rpm Integrated Washer Dryer -White 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.