Fever, type of can refer to two different illnesses: AGUE and tertian. AGUE is a term used to describe a fever that comes and goes in cycles, usually lasting for a few days at a time. It is also known as malaria or intermittent fever. Tertian fever is a type of fever that occurs every other day, usually caused by a parasite. It is also known as quotidian fever. Both of these types of fever can cause chills, sweating, headaches, and fatigue.