Is there a command to stop individual mobs from spawning in Minecraft?

Found on the wiki:

doMobSpawning — Whether mobs should naturally spawn

=> /gamerule doMobSpawning false

There is no command to disable spawning of a specific mob, nor all hostiles one; you might achieve your result with some server configuration.

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Minecraft peaceful mode: spawn hostile mobs, give them creative mode AI

The answer to this question might be useful to you though.

It's not strictly ideal, but you could have a group of repeating commandblocks (1 for each mob to block) either setting the mob's AI to false (so they won't move/attack), or straight up killing them. If you didn't want the drops, you could tp them to some negative y-value such that they despawn before they die.

For example, stopping all Creepers from moving and attacking:

/entitydata @e[type=Creeper] {NoAI:1}

Also, "killing" all zombies:

/tp @e[type=Zombie] ~ -500 ~

I found a way to do something similar. It won't stop mobs from spawning but the second they spawn they will die.

You first give yourself a command block. Then, type this command:

/kill @e[type=zombie]

This example will kill zombies.

Set the command block to repeat and always active.

You can type any mob name in place of the word zombie but you have to individually put in a command block for each mob.