Joe Rogan, the host of the hugely popular podcast “The Joe Rogan Experience,” said on Wednesday that he had tested positive for the coronavirus after he returned from a series of shows in Florida, where the virus is rampant. Mr. Rogan, who was rebuked by federal officials last spring for suggesting on the podcast that young healthy people need not get Covid vaccinations, said that he started feeling sick on Saturday night after he returned from performing in Orlando, Tampa and Fort Lauderdale. He did not say whether he had been vaccinated. “Throughout the night, I got fevers, sweats, and I knew what was going on,” he said in a video on Instagram, adding that he moved to a different part of his house away from his family. (In an episode of his podcast in April, he mentioned that his children had experienced mild Covid-19 symptoms earlier in the pandemic.) He took a coronavirus test the next morning that came back positive, he said. In his video on Wednesday, Mr. Rogan said he had been treated with a series of medications. “Sunday sucked,” he said, but by the time he made the video, he said he was feeling “pretty good,” using an expletive.