A teenager has been charged over the shooting of a Brisbane doctor last week.

Police said the 17-year-old man was charged last night over the murder of Luping Zeng after being arrested in Brisbane's southside.

The 56-year-old skin cancer doctor was shot in the garage of his MacGregor home on Monday night.

Detective superintendent Tony Fleming said the arrest came after a number of locations were searched.

Luping Zeng, 56-year-old was shot in the garage of his MacGregor home on Monday night. (Nine)

“He was interviewed, he has been subsequently arrested for murder. He was charged overnight.”

Det Supt Fleming said he doesn’t believe the doctor knew the teenager.

“It’s likely this was a crime of opportunity. It’s why we consider it very concerning,” he said.

Police want to speak to two other men in their late teens over the attack.

Dr Zeng's family have been told about the arrest.

“I can only imagine there’s some satisfaction in that, but it doesn’t bring back a husband or a father,” Det Supt added.

A teenager has been charged over the shooting of a Brisbane doctor last week. (Nine)

Police are still looking for a stolen silver 2013 Hyundai Elantra hatchback, possibly bearing false Queensland registration 078YPN.

The GP and skin cancer doctor was packing his car in the garage of his family's home when the shooting happened at 11.40pm.

Dr Zeng's wife and adult children came to his aid, with his wife calling triple zero.

He later died at Princess Alexandra Hospital

Dr Zeng had three decades of medical experience, including 11 years in plastic and reconstructive surgery and spoke three languages.

The GP and skin cancer doctor was packing his car in the garage of his family's home when the shooting happened at 11.40pm. (Nine)

He was also a highly regarded member of Brisbane's Chinese community.

Dr Zeng moved to Australia in 2000 and worked at the Waterford 7 Day Medical Centre and Skin Cancer Clinic.

His wife is an overseas trained doctor, and their two adult children are also studying to become doctors.

His patients reacted to the news of his death with disbelief, remembering his gentle and compassionate nature.

"I can't believe something so horrible has happened to someone so kind," Sheridan Doyle posted on Facebook.