Hello Allendawg.
Welcome to Apple Support Communities. We understand that your Apple Music stops intermittently. We are happy to help.
We’d like to ask you some questions to isolate the cause. Is the music being streamed or downloaded? Are you using headphones to listen to the music? If so, are the headphones wired or Bluetooth? Are you using Apple branded headphones or another manufacturer’s headphones?
To isolate the cause further, we’d like to have you turn off lossless audio. Please see the section titled “How to turn lossless on or off” here: About lossless audio in Apple Music - Apple Support
Apple has also recently released an iOS update. If you haven’t done so, please follow the steps here to download and install the latest update: Update your iPhone, iPad, or iPod touch - Apple Support
Let us know if you have further questions.
Take care.