Sometimes wood will tear out at the end grain and there is nothing you can do about it.
But you can minimise it, Sharpen your tool for the last one or two cuts and make then very fine, also work with the grain.
If you are asking because of the dark patches I can see in the photo, it's odds-on you made the cut in one go. And as it's a concave curve at some stage you were working against the grain.
In that situation you needed to be cutting from the middle of the curve (widest point) to the base of the bowl and again from the same point out to the rim. This way you provide the maximum support for the fibres being cut with the fibres below the bevel.
Hold a bowl as if mounted for turning and so the the grain is horizontal, now look at the grain/fibres and see which way they lay and it will be more apparent.