Humans may affect the lobsters greatly, but they also help them to flourish so that the population is not depleted. For example, the fisheries: limit the fishing season, have a minimum size requirement for the caught lobsters, offer protection for the breeding females, limit how many lobsters each fisherman can take, and restrict the size of the lobster pots.
US Federal List: no special status
CITES: no special status
IUCN Red List of Threatened Species: no special status