In a written statement, the coalition promised to increase its safety protocols.
"We can do more to help our performers learn how to protect themselves, on screen and off," Duke said.
The group called a weeklong moratorium last month after a 28-year-old tested positive for HIV. After that production ban was lifted, a second actor was found to have HIV, and another work stoppage was called Sept. 6.
A third performer also tested positive. The coalition says all three appear to have contracted the virus in private life and all of their on-screen partners have tested negative.
A similar work ban was enacted last year after nearly a dozen performers were infected with syphilis.