If your army eats more supply than what's produced by the province you're in, you get the starvation message. Insufficient supply for even a single unit will give you that message, but how many units actually suffer starvation (and get diseased as a result) I believe to be related to how much the needs of your army exceed the available supply. In other words, if you're only a couple of points over the supply limit of a province, you're probably OK (just don't dawdle there). If your army wants double the available supply, you're in trouble. The exact ratio where it becomes a serious problem - that I'm not so sure about.
Here's a thread that talks about starvation:
http://forum.shrapnelgames.com/showthread.php?t=35873
Quote:
Originally Posted by Mauxe
Is there a way to reverse the diseased troop process?
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The short answer is no.
The global Gift of Health removes afflictions on all friendly troops within your dominion. The unique artifact The Chalice heals afflictions of units that reside in the same province as the unit that holds it. And some units in the game have the healer ability, which allows them to heal units. Some nations have healers as recruitables (Arcoscephale & ?), otherwise if you have high level nature mages and a lot of conjuration research you can summon Faery Queens.
http://dom3.servegame.com/wiki/Faerie_Court
http://dom3.servegame.com/wiki/Priestess
With the possible exception of Gift of Health (and that only when you're operating in friendly dominion), in general if your army is heavily diseased, it's toast. Most human sized troops don't have enough health to survive long enough for you to do anything about it once they become diseased. 10 HP goes away really quickly.