10/12/2006 AT 04:15 PM EDT
Linda Evangelista has welcomed her first child – a boy, the supermodel's agent, Didier Fernandez, tells PEOPLE exclusively.
Augustin James Evangelista was born on Wednesday in New York City.
Evangelista, 41, told the Associated Press in July that she wasn't worried about the effects of pregnancy on her supermodel figure. "I'm not freaked out at all," she said. "I embrace it. I believe I'm doing everything to go through this as smoothly as possible. I'm either doing yoga or exercising every day."
The Canada-born catwalker also said she wouldn't make a "comeback" after giving birth, because she's not going anywhere to begin with. "I decided when I was 12 that (modeling) is what I wanted to do," she said. "I know how to be a good model. And I didn't have a Plan B in place."