What is the type of a term named for a person who first identified it pertaining to medical?

The term you're referring to is called an "eponym." Eponyms in medicine are terms derived from the names of individuals who first identified or described a particular condition, disease, or anatomical structure. For example, Alzheimer's disease is named after Alois Alzheimer, who first characterized the condition. Eponyms are widely used in medical terminology to honor the contributions of these individuals.