Nearly 40,000 refugees have fled Burundi to neighboring Rwanda, Tanzania and the Democratic Republic of the Congo in the last month amid protests against President Pierre Nkurunziza's bid for a third term, the United Nations said on Wednesday.

A total of 16 people were injured in protests held in different parts of the capital on Wednesday, the Burundi Red Cross said.

More than a week of demonstrations have plunged the African nation into its worst crisis since an ethnically charged civil war ended in 2005. Civil society groups say a dozen people have been killed. Police say the death toll is half that number.