Analisis kestabilan model SIR, SIR vaksinasi, SEIR dan MSEIR sebagai model-model penyebaran penyakit Campak (Measles)

Abstract

Measles disease is an extremely dangerous disease. It caused by virus that spreads through direct to the contact with victims or air. Measles disease can cause complication, mustle disfunction and organ, physical defect, paralysis and death. A vaccination program is a powerful method to control the measles disease outbreak. The measles disease outbreak can be studied using mathematical model. The model is known as SIR, SIR of vaccination, SEIR and MSEIR epidemic model. In this research, the SIR of epidemic model, SIR of vaccination, SEIR and MSEIR is derived by including the factors of birth, death, vaccination, body profection and immunity. The vaccination is held to prevent the measles disease outbreak.