The parents of a Nebraska toddler killed by an alligator at Florida's Walt Disney World say they are overwhelmed by the support they have received since the death of their son.

Matt and Melissa Graves of Elkhorn, Nebraska, said in a statement Saturday they appreciate the support and love from friends in their community and around the country.

The Graves also asked for privacy as they lay their son to rest.

An alligator described as being as long as 7 feet snatched 2-year-old Lane Graves as he waded in shallow water in a lake at a Disney hotel Tuesday night. The beach had "no swimming" signs but none warning about alligators.

The company says it will now add gator warnings. The resort's beaches remain closed.