Following a cool, soaking rain, with temperatures around 70F (21C), verticillium fungi enter the roots of susceptible plants, multiply, and clog up their vascular systems. Any fruits that do ripen are not likely to taste good because of the nutritional and moisture stress caused by this disease.
Grow resistant varieties if verticillium is known to be present in soils in your area. If you want to grow susceptible heirloom varieties, grow them in containers filled with bagged soil.
Pull up infected plants discard them in the trash, or in a very active compost pile.