Although he may be annoying you, and they can tell him to stop, deleting his posts and you getting angry isn't needed.
As an ex-mod, i've dealt with a lot of this. First of all,
-This isn't your thread, so it's not really your say.
-You're the only one who's asked him to stop. Nobody else seems to have not liked his posts yet.
-You really can't 'ban' somebody from a thread.
-While he may be annoying you, he's not saying anything derogatory or degrading.
-No forum rules seem to be broken.
I'd say just wait, if he doesn't stop, THEN call a mod in.