Cow's Oak Vs. Peter's Minion Erebus.
If you want to beat minions you have to build for them. My solution is divine justice, the amount of hp regen from divine justice almost equal the amount of DPS minion do to you.
I suggest if you are really having a difficult time vs. minion try out a divine justice oak.
here is the replay of the match:
http://www.gamereplays.org/demigod/replays.php?game=51&tab=upcoming&show=details&id=99439