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Currencies and stocks also gained in most of the tracked 26 emerging economies.
Some fear that South Africa is becoming increasingly divided.
"The country to whom our people were taken as slaves ... has decided to ban refugees," the AU chief said.
Barrow was sworn in at the Gambian embassy in Dakar, Senegal.
There have been some in the senior ANC cadre calling for Zuma to step down following allegations of corruption.
The warning comes after dozens in neighboring Zimbabwe appear to have contracted the disease.
The rand weakened against the dollar since mid-December, while international oil prices continued to crawl upward.
Zuma's critics allege he is trying to protect those with whom he has strong business ties.
South Africa's set of trials for a new vaccine are the first such wide-scale effort in a decade.
Castro led Cuba for decades before handing power to his brother in 2008.