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Demographic noise slows down cycles of dominance.

The department of Mathematics and Statistics at the University of Limerick invites you to a seminar by Dr Tim Rogers (University of Bath)

Title:  Demographic noise slows down cycles of dominance. 

Abstract: 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.

This seminar will take place on Tuesday, 9th May, at 12p.m, in  Room A2-002.

If you have any questions regarding this seminar, please direct them to Iain Moyles (061 233726,

A full list of upcoming seminars can be found at

Supported by Science Foundation Ireland funding, MACSI - the Mathematics Applications Consortium for Science and Industry (, centred at the University of Limerick, is dedicated to the mathematical modelling and solution of problems which arise in science, engineering and industry in Ireland.


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