WordNet sense 1 (occupy in large numbers or live on a host):

infest, invade

WordNet sense 2 ((often followed by `with' or used in combination) troubled by or encroached upon in large numbers):

infested, plagued

WordNet sense 3 (characterized by or indicative of distress or affliction or danger or need):

troubled

WordNet sense 4 (flow or run over (a limit or brim)):

overflow, run over, brim over, well over

WordNet sense 5 (too much production or more than expected):

overproduction