Usually termed "rent-seeking". I'll have to think a bit on whether / how this is related to Dutch disease.
Off the top of my head, though, DD is exploiting a resource to create, but concentrate, wealth. RS is exploiting a market anomaly or manipulation to create a self-directed wealth stream, though often or usually decreasing overall societal wealth in the process.
DD is economically beneficial activity with an inequitable distribution of gains.
RS is economically harmful activity with an inequitable distribution of gains.
http://en.wikipedia.org/wiki/Dutch_disease