In the nicest possible way, @Chris2003, your places scream 'HOUSE PARTY', so it's easy to see why the scrotes might want to stay. I see you've got the standard *NO PARTIES* rider, but not sure if this is a recent thing.
What I'd be doing;
1. Restricting bookings to those with favourable reviews only (although this - as @Anonymous says isn't a guarantee you won't get any dickish behaviour)
2. Making the listing sound a little more like someone's home. It's very third-person atm, so effectively a business (to be treated in the same way some people often drive rental cars), not someone's pride and joy
3. State you live close by - which suggests you'll be keeping an eye on the place
4. Mention the neighbours are friends (another surreptitious warning)
All of the above can simply be slipped in very conversationally in your listing blurb.
Lastly, and probably the most important bit, form a relationship with people who book up front along with a guilt-inducing line (if they are planning to run amok) that it's your house/the neighbours are great, yada, yada. Humanise the experience.
Good luck.