Sylvie Méléard (Ecole Polytechnique, France)
Stochastic dynamics for adaptation and evolution of microorganisms
Abstract: Understanding the adaptation and evolution of populations is a huge challenge, in particular for microorganisms since it plays a main role in the virulence evolution or in bacterial antibiotics resistances. We propose a general eco-evolutionary stochastic model of population dynamics with clonal reproduction and mutations, including competition for resources and exchange of genes. We study some asymptotics of this general birth and death process depending on the respective demographic, ecological and exchange time scales. We show how the gene exchanges can drastically affect the evolutionary outcomes.
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