SUWANEE, Ga. -- Police have identified a woman fatally stabbed in Gwinnett County on Monday. Authorities are continuing to search for the attacker.

The incident happened in the 3800 block of Crescent Walk Lane in Suwanee, Ga. There, police found the victim, 33-year-old Vera Tulbure, suffering life-threatening injuries and rushed her to Gwinnett Medical Center Lawrenceville.

Police described the incident as "domestic" and said they believed that the couple had been dating for "a little more than a year."

The suspect, 33-year-old Jesse Louis Bodie, is described as a black male with black hair and brown eyes. He is also about 170 pounds and 6 feet 1 inch tall.

"Officers have saturated the area in an attempt to find him," police said in a media release.

Police said he already had warrants out for his arrest for a previous incident but added that he has not yet been charged in Monday's stabbing and death.

They are warning the public to use caution until the suspect is caught. Police also added that they don't believe Bodie has a vehicle.