GENEVA — New infections with HIV fell by one-third globally between 2001 and 2012, according to a United Nations report that shows the success of efforts to turn back the tide of the world’s deadliest infectious disease.

Worldwide, 2.3 million people were newly infected with the AIDS-causing virus last year, compared with 3.4 million in 2001, the Joint U.N. Programme on HIV/AIDS, or UNAIDS, wrote in a report released Monday. AIDS-related deaths fell 30% to 1.6 million last year from the peak in 2005, the Geneva-based agency said.

Investment in antiretroviral drugs increased to $18.9 billion last year compared with $3.8 billion in 2002. More than half of that comes from low- and middle-income countries.

“Today we have the tools we need to lay the groundwork to end the AIDS epidemic,” Michel Sidibe, UNAIDS’s executive director, said in the report.

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Still, “in several countries that have experienced significant declines in new HIV infections, disturbing signs have emerged of increases in sexual risk behaviors among young people.”