• Corpus ID: 24403260

The geometry of the Fisher selection dynamics

  title={The geometry of the Fisher selection dynamics},
  author={Alexander V. Shapovalov and E. V. Evdokimov},
  journal={arXiv: Biological Physics},
We study the Fisher model describing natural selection in a population with a diploid structure of a genome by differential- geometric methods. For the selection dynamics we introduce an affine connection which is shown to be the projectively Euclidean and the equiaffine one. The selection dynamics is reformulated similar to the motion of an effective particle moving along the geodesic lines in an 'effective external field' of a tensor type. An exact solution is found to the Fisher equations… 
2 Citations

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