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BP: Fachverband Biologische Physik
BP 53: Posters - Statistical Physics of Biological Systems
BP 53.1: Poster
Wednesday, March 9, 2016, 17:00–19:00, Poster C
The stability of predator-prey systems on multiple patches coupled by migration — •Philipp Gramlich1, Sebastian Plitzko1, Lars Rudolf2, Barbara Drossel1, and Thilo Gross2 — 1Institut für Festkörperphysik, TU Darmstadt, Deutschland — 2Faculty of Engineering, University of Bristol, United Kingdoms
Dispersal between different habitats influences the dynamics and stability of populations considerably. Furthermore, these effects depend on the local interactions of a population with other species. Using a generalized modelling approach that is based on a linear stability analysis, we perform a comprehensive study of the simplest possible system that includes dispersal and local interactions, namely a 2-patch 2-species system. We evaluate the impact of dispersal on stability and on the occurrence of bifurcations, including pattern forming bifurcations that lead to spatial heterogeneity, in several different classes of models. We find that dispersal often destabilizes equilibria, but it can stabilize them if it increases population losses. If dispersal is nonrandom, i.e. if emigration or immigration rates depend on population densities, the correlation of stability with dispersal rates is positive in part of the models. We then extend the model to include many patches that are connected as a Random Geometric Graph and investigate the effect of the topological features of the patch network on the stability of the system.