The care for Zoysia grass is somewhat similar to Floratam, but with a few differences. The main pest of this grass is the grub. It should be treated like Floratam, with a fertilizer application with insecticide two times per year in the spring and fall should keep them under control. There is no weed and feed that you can apply through fertilizer, but you can put out a fertilizer that keeps weeds from germinating. Any weeds you have you can use a variety of post emergent herbicides labeled for this grass. The most common and easiest zoysia I have found to take care of is Empire.