ANALISA KESTABILAN MODEL MATEMATIKA PENYAKIT PNEUMONIA DENGAN CARRIERS
ABSTRACT: Pneumonia disease is
lung infammation disease caused by microorganism such as Streptococcus
pneumoniae bactery. This final project presented a mathematical model that describe
dinamic pneumonia disease population in children under five years. The model
used SICR are susceptible, infected, carriers, and recovered. Analysis to the
model is conducted to decide whether pneumonia will spread within population
with reproduction number. Using Routh-Hurwitz criterion we obtained free
disease equilibrium and endemic equilibrium. From stability analysis of
simulation result it is known that the disease free eqilibrium unstable while
the endemic equilibrium stable local asimtotic with 017,14793737 R .
Penulis: Hanik Rahmawati,
Prof. Dr. Widowati, M.Si Drs. Kartono,
M.Si
Kode Jurnal: jpmatematikadd150782
