Well from speaking to female friends, it seems most want a man who treats them indifferently, shows them no affection or respect, then they spend the next 10 years moaning about how they wish he was different.
Obviously there needs to be a balance between obsessive love and indifference, but I think I would prefer to be doted on, than ignored and only called or texted when he want's a legover.
Maybe this man, has little else in his life, few friends etc and is so overwhelmed to have found you. I think you either need to sit him down and explain how his behaviour is stifling you or just end things and hope he doesn't become your stalker. It just sounds to me, like he's head over heel in love with you.