Vinyl/PVC is largely regarded as one of the most toxic plastics in use today. It also poses numerous environmental concerns. Mattress covers made from vinyl/PVC contain many chemical additives such as phthalates, antimony, and various biocides which are released over time.
Many companies have begun replacing vinyl/PVC with a woven nylon fabric. While nylon is definitely an improvement over vinyl/PVC, it is still not as pure and non-toxic as polyethylene. It is also not truly waterproof and will stain (it must be treated with a chemical coating in order to make it water resistant). Nylon mattress covers also typically contain the same questionable fire retardants and biocides as vinyl/PVC.