overrun

too much production or more than expected

invade in great numbers; "the roaches infested our kitchen"

occupy in large numbers or live on a host; "the Kudzu plant infests much of the South and is spreading to the North"

flow or run over (a limit or brim)

seize the position of and defeat; "the Crusaders overran much of the Holy Land"

run beyond or past; "The plane overran the runway"