Cohort II patients are a younger group ranging from 3 months to under 2 years of age. Patients initially receive the next lower PEG-Intron dose to the optimal dose identified in Cohort I [AS PER AMENDMENT 07/23/01: or 1 microg/kg if the optimal dose proves to be 1 microg/kg]. If this dose is safely tolerated, additional patients are added. If this dose level meets safety criteria, patients are enrolled to receive the optimal dose level. Patients are evaluated with the same safety criteria as Cohort I. Patients in both cohorts who have at least a 0.5 log reduction in HIV RNA at 28 days of treatment are offered continued treatment for a total of 60 weeks.