Bernoulli Lecture III - Stochastic Persistence   16 October 2014

16:15 - 17:15


Michel Benaim, Université de Neuchâtel

By Michel Benaim (Université de Neuchâtel)

An important issue in ecology is to understand under which conditions a group of interacting species - whether they are plants, animals, or viral particles - can coexist over long periods of time. A fruitful approach to this question has been the development of nonlinear models of deterministic interactions, leading to what is now known as the Mathematical theory of persistence. Persistence amounts to saying that the dynamical system describing the species interactions admits an attractor bounded away from extinction (i.e. the subset of the state-space where the abundance of one or more species vanishes).  Beside biotic interactions, environmental fluctuations play a key role in population dynamics. In order to take into account these fluctuations and to understand how they may affect persistence, deterministic models need to be replaced by stochastic ones and the theory needs to be revisited. This talk will survey recent results in this direction laying the groundwork for a mathematical theory of stochastic persistence. Part of this work stems from a close collaboration between Neuchatel’s research group in probability and UC Davis department of Evolution and Ecology.

Name University Dates of visit
Michel Benaim Université de Neuchâtel 16/10/2014 - 16/10/2014
Total Guests : 1
Name University Dates of visit
Total Guests : 0