Well, this is the first I’ve heard of a disease. If the mutation confers a reproductive advantage, that means more of the next generation are likely to carry the mutation, and fewer are likely to carry the unmutated gene. So more are pinkish, fewer are white.
Next generation, both white and pinkish sheep are breeding, but because of the reproductive advantage, even more of the offspring are likely to carry the mutation, and even fewer the unmutated gene. So even more are pinkish, even fewer are white.
Still what white sheep there are keep breeding, and so do the pinkish ones, but because of the reproductive advantage of the mutation, with each generation more of the population carries the mutation, fewer carry the unmutated gene.
Many generations down the line all of the population carries the mutation, and none of the sheep carry the unmutated gene. Now we have an entire pinkish population. Not a white sheep to be seen. White sheep in this population have died out.