How do you prevent violence and crimes without a police force?

This isnt just about anarchism but all movements supporting an abolishion of the police force, how would you deal with crimes like assault, murder and other violent crimes? Like, ive been the victim of assault before and ik the system as it is cant protect everyone (i didnt file charges against the person that hurt me but that was for other reasons) but at least a lot of criminals are caught and prosecuted. If we didnt have a police force to enforce the law, how would we deal with someone assaulting somone else, how would we catch serial killers and stop violent criminals. How would a state without the police stop someone like ted bundy?