my oyster plants are dying from the center out
They almost look like they've been trampled on, and then they start to turn brown from the center of the plant. They do get some afternoon sun, but they're not overwatered. We have some cats in the neighborhood. Could they be urinating on them? That's kind of what it looks like. It happens to them almost overnight, and then they're dead within a couple of days.
I think it most likely that you've got some fungal condition going on in the bed. You might want to take some soil and plant samples to the Extension Service for analysis. This link will help you find the nearest one: https://www.gardeningknowhow.com/extension-search/
This article may help you with general growing tips: https://www.gardeningknowhow.com/ornamental/flowers/rhoeo/growing-rhoeo-plants-in-the-garden.htm