overrun

noun

1
run beyond or past
The plane overran the runway
2
seize the position of and defeat
the Crusaders overran much of the Holy Land
3
invade in great numbers
the roaches infested our kitchen
4
flow or run over (a limit or brim)
5
occupy in large numbers or live on a host
the Kudzu plant infests much of the South and is spreading to the North

Also useful for “overrun”:Scrabble— High-value letters — see what it scores