hmm, i'm not sure about the others.
but based on my experience, i stop when the girl doesnt show me enough interest or when i start to find her annoying or when i find someone better or more challenging to woo. the last one sounds douchey, i'm sorry
but i think my reasons were just because all the girls i ever wooed were strangers. you know, pursue her [i]before[/i] getting to know her.
i don't know what would make a guy stop from wooing a [i]friend[/i] because i've only experienced it once and i'm still with her. maybe the other guys in here can answer that for you