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PHOENIX — A former student opened fire in a computer lab at a Phoenix community college Thursday afternoon, wounding three people, two critically, authorities said. A man was later arrested.

The shooting at South Mountain Community College was part of a running dispute between the suspect and one of the victims, and police were investigating the cause of the quarrel, said Sgt. Andy Hill, a Phoenix police spokesman.

"This was not a random shooter going around the campus shooting," Hill said, noting that the other two injured people were struck by stray bullets.

The suspect was identified Thursday night as Rodney Smith, who police said was a former student at the college. Details on when he attended the school were not immediately available.

Smith, 22, was arrested at a home three to four miles from the school within a half-hour of the first 911 call about the shooting, said police spokesman Reuben Gonzales.

Also arrested at the home were Smith's parents and three other people on charges of interfering with an investigation and failure to obey a police officer, Gonzales said.

Yessenia Lara, an 18-year-old student who witnessed the shooting, said the shooter was one of two men who had been fighting in the computer building. She said the gunman seemed to be directing his shots, not firing randomly.

"I saw someone get punched, and then I heard three shots after that. Everybody basically ducked, and the shooter got away," Lara said, adding that the victims were yelling in pain.

A 19-year-old man was in critical condition, a 20-year-old woman was upgraded to stable condition, while a 17-year-old boy was in stable condition, said Mark Faulkner, a division chief for the Phoenix Fire Department. The woman was shot in one of her hips while the man and boy suffered leg wounds.

The three were at Maricopa Medical Center.

College spokesman Robert Pryce said 20 to 30 people were in the computer lab during the shooting. The lab is open to the public. He said 200 to 300 people were on campus at the time.

The school was in lockdown for about an hour after the shooting, Pryce said.

An electronic sign outside the school said all classes were canceled Thursday and students could be seen leaving the campus calmly about 90 minutes after the shooting. Pryce said the campus would be closed today, which is typical during the summer.

College President Ken Atwater and a school counselor, Cori Washington, came by the Phoenix hospital where the victims were taken to show their support and talk to family members.

In a prepared statement, Atwater said, "The safety of our students and staff is our highest priority, and all appropriate measures are being taken to ensure the safety of our campus," but he did not elaborate.

The college, situated at the base of Phoenix's South Mountain, has more than 8,000 students each year.

Its student body is made up mainly of people seeking associate degrees and certificates of completion.