SAN DIEGO -- The death of a 4-month-old girl in San Diego County has been linked to the swine flu pandemic, health officials announced Wednesday.

The infant had no known underlying medical conditions, according to the San Diego County Health and Human Services Agency.

The child, identified as Paulina Martinez, lived in Oak Park with her parents and four siblings. She was buried on Wednesday, sources close to the family told 10News.

Doctors at Rady Children's Hospital told 10News the H1N1 virus is so new they do not know how or if it played a part in Paulina's death.

"When the baby was found not breathing in the home, the damage had been done," said Dr. John Bradley of Rady Children's Hospital.

When Paulina arrived at Children's Hospital, doctors said she was brain dead. Hours after her death, she tested positive with the H1N1 virus.

Sudden Infant Death Syndrome expert Dr. Henry Krous told 10News, "What remains to be delineated in this case is whether the H1N1 was a cause of death, a contributing factor in the death or played no role at all."

Krous said he won't have that answer until an autopsy is complete.

"There were no signs typical of influenza, so that was not the admitting diagnosis; SIDS was," said Bradley.

Pediatricians said they are treading on uncharted territory with this case, but added parents should not be alarmed.

"I don't think babies should be taken into crowds. They should also keep babies on their backs for sleeping, and they should avoid exposure to tobacco smoke and they should breastfeed them," said Krous.

To date, there have been 33 deaths of San Diego County residents linked to the H1N1 influenza and four deaths of non-residents, according to the HHSA. The number of people hospitalized with the virus locally stands at 617.

Each of the county's six public health centers and one immunization clinic have each received between 20 and 60 additional doses of injectable H1N1 vaccine, according to the HHSA. Those vaccines will be given to pregnant women.

County health officials again encouraged people to stay away from work or school if they have influenza-like symptoms such as fever, cough, sore throat, body aches, headache, chills and fatigue.

Those with underlying medical conditions experiencing influenza-like symptoms should contact their doctor, according to the HHSA.