MODEL EPIDEMI SIR DENGAN KELAHIRAN, KEMATIAN DAN IMIGRASI YANG BERBENTUK LINIER DARI S, I DAN R; THE EPIDEMIC OF SIR MODEL WITH BIRTH, DEATH AND IMMIGRATION WHICH FORM LINEAR OF S, I AND R

SUTADI, Widodo,

2011 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

There are many SIR epidemic models, including Classical SIR, SIR with carries, SIR with vital dynamics. These models do not take into account migration. In this thesis, it will be discussed SIR model with migration such as effects of birth , death and immigration which form linear of S, I and R. We will discuss the point of equilibrium, stability, quotient system and numerical solution

Kata Kunci : migrasi, vital dynamics, titik ekuilibrium, stabilitas, quotient sistem, solusi numerik.