THE APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATIONS TO POPULATION GENETIC MODEL

Title & Authors
THE APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATIONS TO POPULATION GENETIC MODEL
Choi, Won; Choi, Dug-Hwan;

Abstract
In multi-allelic model $\small{X\;=\;(x_1,\;x_2,\;\cdots\;,\;x_d),\;M_f(t)\;=\;f(p(t))\;-\;{\int_0}^t\;Lf(p(t))ds}$ is a P-martingale for diffusion operator L under the certain conditions. In this note, we examine the stochastic differential equation for model X and find the properties using stochastic differential equation.
Keywords
allelic model;martingale problem;stochastic differential equation;random genetic drift;mutation rate;natural selection;
Language
English
Cited by
1.
ON THE MARTINGALE PROPERTY OF LIMITING DIFFUSION IN SPECIAL DIPLOID MODEL,;

Journal of applied mathematics & informatics, 2013. vol.31. 1_2, pp.241-246
1.
Derivation of Several SDE Systems in One- and Two-Locus Population Genetics, Stochastic Analysis and Applications, 2014, 32, 5, 761
2.
ON THE MARTINGALE PROPERTY OF LIMITING DIFFUSION IN SPECIAL DIPLOID MODEL, Journal of applied mathematics & informatics, 2013, 31, 1_2, 241
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