"darting the antelope first and attaching a radio direction beacon"

well, If you don't want to model how much the hunter recovers during periods of relative rest ( slower-than-running-time-spent-in-tracking this would be additional resting time for the prey as well I suppose) you could do it that way.

Does anyone in HN know of what kind of mathematics would be needed to set up a simulation like this?equations for rates of exhaustion/ speed loss over time etc?