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SUMMARY:Bernoulli Lecture III - Stochastic Persistence
DTSTART:20141016T161500
DTEND:20141016T171500
DTSTAMP:20260406T212835Z
UID:3a9ac889a9b60f171cab9b9a72f66a78152e0ab94eaea9b962c4012d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Michel Benaïm\, Université de Neuchâtel\nAn important issue
  in ecology is to understand under which conditions a group of interacting
  species - whether they are plants\, animals\, or viral particles - can co
 exist over long periods of time. A fruitful approach to this question has 
 been the development of nonlinear models of deterministic interactions\, l
 eading to what is now known as the Mathematical theory of persistence.\nPe
 rsistence amounts to saying that the dynamical system describing the speci
 es interactions admits an attractor bounded away from extinction (i.e. t
 he subset of the state-space where the abundance of one or more species va
 nishes). \nBeside biotic interactions\, environmental fluctuations play a
  key role in population dynamics. In order to take into account these fluc
 tuations and to understand how they may affect persistence\, deterministic
  models need to be replaced by stochastic ones and the theory needs to be 
 revisited.\nThis talk will survey recent results in this direction laying 
 the groundwork for a mathematical theory of stochastic persistence.\nPart 
 of this work stems from a close collaboration between Neuchatel’s resear
 ch group in probability and UC Davis department of Evolution and Ecology.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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