Adam Baldwin, Eric Dane Adam Baldwin, Eric Dane

The world's population may be dying left and right on The Last Ship, but not everyone has been affected.

On Sunday's episode (9/8c, TNT), Capt. Chandler (Eric Dane) and his men head to Guantanamo Bay to search for food and additional fuel now that Chandler has decided to stay at sea until Dr. Scott (Rhona Mitra) can make a cure for the disease. However, as seen in the exclusive first look at the episode below, when the crew of the Nathan James arrives at the mostly deserted military base, they quickly learn that there a few other survivors.

Ratings: TNT's The Last Ship is 2014's most-watched cable premiere

Among them is a man named Tex (John Pyper-Ferguson

), one of seven guards who never came in contact with the virus and had been left behind when the base was evacuated. But when Tex and his men decided to let the men he was charged with guarding go, the detainees turned on them. (So much for gratitude!)As for the rest of Tex's men? "I'm the last man standing," Tex says. Can Chandler trust Tex? And are the detainees still on the island a threat? Check out The Last Ship on Sunday at 9/8c on TNT. (If you missed the premiere, catch up here.)