# Stochastic individual-based models with power law mutation rate on a general finite trait space

@article{Coquille2021StochasticIM, title={Stochastic individual-based models with power law mutation rate on a general finite trait space}, author={Loren Coquille and Ann Kraut and Charline Smadi}, journal={Electronic Journal of Probability}, year={2021} }

We consider a stochastic individual-based model for the evolution of a haploid, asexually reproducing population. The space of possible traits is given by the vertices of a (possibly directed) finite graph $G=(V,E)$. The evolution of the population is driven by births, deaths, competition, and mutations along the edges of $G$. We are interested in the large population limit under a mutation rate $\mu_K$ given by a negative power of the carrying capacity $K$ of the system: $\mu_K=K^{-1/\alpha…

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