Dresden 2011 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 36: Statistical Physics in Biological Systems IV (organised by BP)
DY 36.8: Vortrag
Donnerstag, 17. März 2011, 16:00–16:15, ZEU 260
Food Quality in Producer-Grazer Models — •Dirk Stiefs1, George van Voorn2, Bob Kooi3, Ulrike Feudel4, and Thilo Gross1 — 1Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Wageningen University and Research Centre, Wageningen, The Netherlands — 3Vrije Universiteit, Amsterdam, The Netherlands — 4ICBM, Carl von Ossietzky Universität, Oldenburg, Germany
Stoichiometric constraints play a role in the dynamics of natural populations, but it is not yet resolved how stoichiometry should be integrated in population dynamical models, as different modeling approaches are found to yield qualitatively different results. We use the approach of generalized modeling to investigate the effects of stoichiometric constraints on producer-grazer systems. The stability of steady states can be analyzed by using a normalization technique to plot 3-dimensional bifurcation diagrams. Because we do not specify the functional form of the processes in the generalized model our results hold for a whole class of stoichiometric producer-grazer systems.
To understand the differences and commonalities between specific stoichiometric models we map the specific bifurcation diagrams into the generalized parameter space. On the one hand, these combined bifurcation diagrams show how the generic results of the generalized analysis are represented in the specific model. On the other hand, it becomes clear that some model features like the sequence of bifurcations observed during enrichment scenarios can be tied to specific modeling assumptions and are hence not structurally stable.