Bulletin of the
Korean Mathematical Society BKMS

In this note, we characterize the limiting diffusion of a diploid model by defining the discrete generator for the rescaled Markov chain. We conclude that this limiting diffusion model is with uncountable state space and mutation selection and special "mutation or gene conversion rate".

Keywords: diploid model, martingale problem, mutation or gene conversion rate, mutation selection, discrete generator for the rescaled Markov chain, limiting diffusion

MSC numbers: 60G44, 60H30, 92D10