Analisis Kestabilan Model Epidemik SEIR pada Penyebaran Penyakit Influenza dengan Vaksinasi

This paper studies the mathematical model of the spread of influenza as an effect of vaccination was investigated. The mathematical model used is SEIR epidemic model by adding a vaccination compartment, recruitment and mortality. Two equilibrium points, both non endemic (disease-free equilbrium) and endemic equilibrium have been obtained from the model. The basic reproduction number R_0 of the model was founded from using next generation matrix. This number determine the stability of both equilibrium points. In this case, the spread of the disease in the population would stop if R_0<1 and the disease will keep spreading if R_0>1. To illustrate the model, numerical simulation has been carried out using some of parameter values.\ud Keywords: SEIR Model, Stability, Equilibrium Point, Basic Reproduction Number, Next Generation Matri