A man was clinging to life Tuesday afternoon after being stabbed at the Jay St.-MetroTech subway station in downtown Brooklyn, cops said.

Police rushed to the scene around 3:07 p.m., where they found the unidentified victim unconscious and unresponsive with stab wounds near Lawrence Ave. and Willoughby St .

EMS transported him to New York-Presbyterian Hospital Brooklyn Methodist, where he was in critical condition.

The suspect — described as wearing yellow shoes, black pants with yellow striping, and a dark shirt, according to police sources — fled, and no arrest has been made.

The investigation is ongoing.

Transit crime in New York City so far this year is down 4.3%. Through Oct. 5, there have been 1,598 crimes in the transit system this year compared with 1,669 by the same po

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