From adaptive dynamics to adaptive walks.

  title={From adaptive dynamics to adaptive walks.},
  author={Ann Kraut and Anton Bovier},
  journal={Journal of mathematical biology},
We consider an asexually reproducing population on a finite type space whose evolution is driven by exponential birth, death and competition rates, as well as the possibility of mutation at a birth event. On the individual-based level this population can be modelled as a measure-valued Markov process. Multiple variations of this system have been studied in the simultaneous limit of large populations and rare mutations, where the regime is chosen such that mutations are separated. We consider… 
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  • A. Bovier
  • Biology
    Probabilistic Structures in Evolution
  • 2019
I discuss the so-called stochastic individual based model of adaptive dynamics and in particular how different scaling limits can be obtained by taking limits of large populations, small mutation
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