[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2011.29.3_4.1043

ON THE APPLICATION OF LIMITING DIFFUSION IN SPECIAL DIPLOID MODEL

Choi, Won (Department of Mathematics, University of Incheon)

Publication Information

Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 1043-1048 More about this Journal

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.

Keywords

diploid model; discrete generator for the rescaled Markov chain; limiting diffusion; Fleming-Viot process;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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 DOI
2	S. N. Ethier and T. G. Kurtz, Fleming-Viot processes in population genetics, SIAM J. Control Opt. 31 (1993), 345-386 DOI ScienceOn
3	H. A. Tachida, A study on a nearly neutral mutation model in finite populations, Genetics 128 (1991), 183-192.