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Monday 05 Dec 2016Dynamics seminar: Demographic noise slows down cycles of dominance

Tim Rogers - University of Bath

H103 14:30-16:30

In this talk I will discuss the phenomenon of cyclic dominance in the Rock–Paper–Scissors model, studied in three different frameworks: 1) Ordinary differential equations for mean-field dynamics in the limit of large populations, exhibiting a limit cycle, 2) Stochastic differential equations describing noise around the limit cycle in large but finite populations, 3) Markov chain models of small populations exhibiting strong stochastic effects. In particular, I will show how the effect of demographic noise (arising from the finiteness of populations) is to increase the period of cycles of dominance.

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