Maybe.  If you both max mines, ard use them wisely, you'll have a good chance, but bite is very annoying.

Regulus is one of the best demigods when it comes to killing minions. With mines and a point into angelic fury you should have no problems fighting them.

Domination might be a problem however because regulus is more endgame than erebus. 

Believe me, a Minion Erebus on Prison is quite unbeatable.

This is because the 2 lanes are so near that he can get minions on both sides and simply send them against your towers when he got the maximum number of minions. If you come close to him, he'll simply retreat and send his minions around you. Towers will be down in a matter of seconds as will be your citadel, even without the Horn of Battle or Ring of Divine Might.

Perhaps Angelic Fury and Mines could help if you're fast enough.