swarm (all) over someone or something
to gather and move all about on someone or throughout something or some place. The ants swarmed all over our picnic table. The children swarmed over the furniture.
swarm around someone or something
to gather or crowd around someone or something, in the manner of a swarm of bees. The little children swarmed around the lady with the candy. The bees swarmed around the flowers.
swarm in(to something)
[for a throng] to crowd into something or some place. People were swarming into the auditorium to hear the guitarist. They swarmed in and ran for the best seats.
swarm out of something
to move out of something in great numbers. The bees swarmed out of the hive. People swarmed out of the park at the end of the game.
swarm through something
to gather in a crowd and move through something or some place. The shoppers swarmed through the store, buying everything in sight. The locusts swarmed through the field, eating the entire harvest.
swarm with someone or something
to be abundant or crowded with moving people or things. The playground was swarming with children, and I couldn't find my own. The picnic blanket swarmed with ants.