Music from other family member's accounts has started downloading onto multiple of my devices without my permission and without their knowledge. Is there any way to stop other family members music from bleeding into mine without my permission?

Music from other family member's accounts has started downloading onto multiple of my devices without my permission and without their knowledge. Is there any way to stop other family members music from bleeding into mine without my permission? We both have iOS 9.1 and it is coming from the Parent account onto my phone and my Mac. It only happens when he loads music from Apple Music and not when he purchases it, as far as I can tell.