Why doesn't this script stop the damage when the enemy is dead?

Trying to figure out why this script won't stop the damage when enemy is dead. The enemy continues to deal damage through his limps on the ground after he is dead (I believe it is just the torso).

local canhit = true
local enemytorso = script.Parent:FindFirstChild('Torso')
if enemytorso and script.Parent.Enemy.Health > 0 then
	enemytorso.Touched:connect(function(hit)
		if hit.Parent:FindFirstChild('Humanoid') then
			if canhit then
				canhit = false
				hit.Parent.Humanoid.Health = hit.Parent.Humanoid.Health - damage
				wait(1)
				canhit = true
			end
		end
	end)
end