As they will in other African states (and others) through war, famine, landmines, disease, AIDS, crime...
Why this particular one, and why does it matter infinitely more than anything else such that it alone deserves financing at others' expense?
Why does it have to matter infinitely more? People are dying, and I don't see why you can't put this at the top of your list. If you want to put something else at the top of your list, all the more power to you.
Yea, $5 is a piss in the bucket, but it's a hell of a lot better than $0. $5 is often all you need to get enough food to one person. That's better than 0 people. $10 would be better than $5, and one billion is better than $10. I don't see why you have to set some sort of minimal threshold of effort or have a minimum monetary value before it becomes worthwhile?
I really don't get the jaded viewpoint of 'cutting yourself off' from emotion - whether you help at home or somewhere else, you're still doing it because in the end, if you want to help a someone. It makes logical sense to prioritize a kid starving to death in some part of the world over someone who may have a much less immediate need at home.
Maybe the kid will die in five years at the next famine - but hey I'd sure appreciate five more years if I was in his shoes.
No one has to give, and it's up to each individual to decide it, but the line of argument of 'we have enough problems of our own' is just inane as far as I'm concerned. That's the line of argument you could use to stop yourself in ANYTHING. "Well all our problems aren't solved, why are we still spending money on X?" X being anything that doesn't directly relate to keeping people alive longer, from public transportation to scientific research, to building a public park.