MODEL DUA STRAIN PENYAKIT TUBERCULOSIS; A TWO STRAINS MODEL OF TUBERCULOSIS

DEDY ROSADI, Lina Aryati

2013 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

This thesis will discussed about the mathematical models SIS spread of two strains of TB, namely strain resistant to the Anti-Tuberculosis Drug and strains sensitive with Anti-Tuberculosis Drugs. Strains of TB resistant to the Anti- Tuberculosis Drug and strain sensitive with Anti-Tuberculosis Drugs will be interaction in the spreading, so that resulting superinfection. The existence of equilibrium point analysis obtained four equilibrium points, one disease-free equilibrium point and three endemic equilibrium points. To determine whether there is individual that infected strains of TB in the population, basic reproduction numbers value analyzed using the Next Generation Matrix. Each equilibrium point have a relationship with the basic reproduction numbers, so that the stability of each equilibrium point is influenced by the basic reproduction numbers. Thus the dynamics of two models spread of TB strain are influenced by the basic reproduction numbers.

Kata Kunci : model matematika; strain; bilangan reproduksi dasar; titik ekuilibrium; kestabilan