Mumps Vaccination: CDCMumps is a contagious disease that is caused by a virus. Mumps typically starts with fever, headache, muscle aches, tiredness, and loss of appetite. Then, most people will have swelling of their salivary glands (often referred to as parotitis when the parotid gland, in front and below the ear, swells). This is what causes the puffy cheeks and a tender, swollen jaw.