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Frontier Airlines CEO Barry Biffle fired back at his counterpart at United Airlines who said the deep-discount model in the U.S. is dead.

"That's cute," Biffle said Wednesday at the Skift Global Forum, a travel conference in New York. "If he's good at math he would understand that we have a [flight] oversupply issue in the United States."

Biffle's comments were a response to United CEO Scott Kirby, who said last week at an airline conference in Long Beach, California, that he thought the largest U.S. discounter, Spirit Airlines , would go out of business. Spirit in August entered its second bankruptcy in less than a year after failing to find sturdy financial footing.

When Kirby was asked wh

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