• Corpus ID: 24403260

The geometry of the Fisher selection dynamics

@article{Shapovalov1998TheGO,
  title={The geometry of the Fisher selection dynamics},
  author={Alexander V. Shapovalov and E. V. Evdokimov},
  journal={arXiv: Biological Physics},
  year={1998}
}
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

2 Virtual communities , patterns and trust : some stylized facts

  • 2007

References

SHOWING 1-10 OF 10 REFERENCES

The mathematical theory of communication

TLDR
This commemorative reprinting of The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago, is released.

Im pri nti ng the gam ete genom e: A m odelforthe chrom osom al basi sofcel ldi erenti ati on

  • Probl em s ofgeneti cs and theory ofevol uti on (N auka,N ovosi bi rsk
  • 1991

A Pri nci pl e of N atural Sel f-O rgani zati on (Spri nger-Verl ag

  • 1979

A ne connecti on spaces

  • 1976

H ydrodynam i c system s and thei r appl i cati ons

  • 1981

Stabi l i ty ofBi ol ogi calassoci ati ons

  • 1978

The M athem aticalTheory ofCom m unication ( Urbana Univ . ofIllinoisPress , 1949 ) . [ 12 ] RashevskiiP . K . Riem ann geom etry and tensor analysis

    Equi l i bri um and Stabi l i ty i n Popul ati on D ynam i cs M odel s (N auka

    • 1983