• Corpus ID: 119138361

The deterministic limit of the Moran model: a uniform central limit theorem

  title={The deterministic limit of the Moran model: a uniform central limit theorem},
  author={Fernando Cordero},
  journal={arXiv: Probability},
  • F. Cordero
  • Published 21 August 2015
  • Mathematics
  • arXiv: Probability
We consider a Moran model with two allelic types, mutation and selection. In this work, we study the behaviour of the proportion of fit individuals when the size of the population tends to infinity, without any rescaling of parameters or time. We first prove that the latter converges, uniformly in compacts in probability, to the solution of an ordinary differential equation, which is explicitly solved. Next, we study the stability properties of its equilibrium points. Moreover, we show that the… 
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