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Pré-Publication, Document De Travail Année : 2016

A numerical approach to determine mutant invasion fitness and evolutionary singular strategies

Résumé

We propose a general numerical approach that can be used to study the invasion fitness of a mutant in evolutionary models and to determine evolutionary singular strategies when the competitive exclusion principle holds. We illustrate this method with a mass-structured individual-based chemostat model. We assume that the mutations are rare and that the resident population is large, in which case the mutant population can be viewed, on a short time scale, as evolving in a constant environment. Both deterministic and stochastic models can be proposed to describe such a problem. We exploit a previously derived mathematical relationship between these models to derive a general method for analyzing the invasion fitness of stochastic models. Our method is based on a deterministic reduced model for which it is straightforward to determine the feasibility of invasion and the convergence-stable evolutionary singular strategy.
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Dates et versions

hal-01413638 , version 1 (12-12-2016)
hal-01413638 , version 2 (23-05-2017)

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Coralie Fritsch, Fabien Campillo, Otso Ovaskainen. A numerical approach to determine mutant invasion fitness and evolutionary singular strategies. 2016. ⟨hal-01413638v1⟩
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