People should consider the Trolley problem. Except this time the fat person isn't one that is killed, but is sent off to live in the equivalent of a Leper Colony.
I'm not sure turning whole countries into Leper Colonies is a good strategic choice given the amount of harm that Ebola causes.
A post from Gregory Cochran's and Henry Harpending's excellent blog West Hunter.
The commenter Ron Pavellas adds:
The Wasserman Test.