Global stability analysis of Susceptible, Infected, Recovered (S,I,R) model measles vaccination based on age

This study discusses the behavioral analysis model of the Susceptible-Infected-Recovered (SIR) epidemic of the spread of measles based on age structure. The total population of measles is grouped into four age groups, namely the first age group (0-4 years), the second age group (5-9 years), the third age group (10-14 years) and the fourth age group (> 15 years). The steps in modeling behavior can be done by determining the equilibrium point, the basic reproduction number and performing a global stability analysis by building the Lyapunov function. This research contributes to providing information both to the government and the communit