EDITED: Ignore this post, incorrect info. Look down.
No, azamax is an eradication method. It's a Botanical Insecticide, Miticide, and Nematicide. It's a toxin, designed to kill every living thing in it's path lol. Neem is preventative, and is simply oil from a Neem plant. Completely natural. It works because it keeps them away in the first place--they don't like the way it smells. It also coats your leaves, and mites hate the taste of that shit. Furthermore, neem gets soaked into the leaves and spreads throughout the rest of the plant, and when mites ingest it, it fucks with their hormones and prevents them from laying eggs/eggs from hatching. Pretty effective and also good for your plants. Azamax isn't really "good" for your plants.
I'd use Azamax and no-pest strips to fix a problem, neem to prevent. Hope this helps.
FattyCaps