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Celso Grebogi: "Multi-layered Networks and Emergence of Spatio-Temporal Order in Ecological Systems"

Wann 11.03.2011
von 11:15 bis 12:00
Wo FRIAS Seminarraum, Albertstr. 19, 79104 Freiburg
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Celso Grebogi
Institute for Complex Systems and Mathematical Biology, University of Aberdeen

 

Multi-layered Networks and Emergence of Spatio-Temporal Order in Ecological Systems

Evolutionary-game based models, in which the success of one species depends on the behaviour of the others, have become paradigmatic for addressing the fundamental problem of species coexistence in ecological systems. The generic properties of the competition can be characterized by the traditional rock-paper-scissors game in combination with spatial dispersal of static populations. I will, initially, consider a complex network, defined on a lattice or a population patch in which the interaction among the nodes changes the state of the nodes stochastically. I will then define a multi-layered network, formed by different sub-networks or population patches, thus in addition to intra-patch migration, I am creating an inter-patch migration.