Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON THE APPLICATION OF LIMITING DIFFUSION IN SPECIAL DIPLOID MODEL

  • Choi, Won (Department of Mathematics, University of Incheon)
  • Received : 2010.06.30
  • Accepted : 2010.11.09
  • Published : 2011.05.30
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Abstract

W. Choi([1]) identified and characterized the limiting diffusion of this diploid model by defining discrete generator for the rescaled Markov chain. We denote by F the homozygosity and by S the average selection intensity. In this note, we define the Fleming-Viot process with generator of limiting diffusion and provide exact result for the relations of F and S.

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References

  1. W. Choi, On the limiting diffusion of special diploid model in population genetics, Bulletin of the Korean Mathematical Society, Vol 42, No 2 (2005), 397-404 https://doi.org/10.4134/BKMS.2005.42.2.397
  2. S. N. Ethier and T. G. Kurtz, Fleming-Viot processes in population genetics, SIAM J. Control Opt. 31 (1993), 345-386 https://doi.org/10.1137/0331019
  3. H. A. Tachida, A study on a nearly neutral mutation model in finite populations, Genetics 128 (1991), 183-192.