Cat flu, bacteria or chlamydia can cause the inflammation of the membranes lining the eyelids resulting in a runny greenish-yellow discharge. More rarely, it can be a misformed tear duct (eg. Persians). If there is excessive tearing or pawing of the eye, see your vet. Most cat flu is caused by a herpes or calici virus, red runny eyes, sneezing, and then depending on which virus, ulcers on the tongue or loss of voice. Check with your vet to make sure the diagnosis is correct. It is infectious.While there is no cure for viral infections, your vet can recommend a helpful diet, vitamins, fluids, and a warm place are helpful as well as treatments for secondary conditions. If your cat refuses to eat or drink or has a fever, see your vet immediately. Neither of these viruses are thought to be spread to dogs or humans.