Analisis dan Simulasi Model SITR pada Penyebaran Penyakit Tuberkulosis di Kota Makassar

Syafruddin Side (Universitas Negeri Makassar)
Wahidah Sanusi (Universitas Neeri Makasaar)
Nur Fajri Se tiawan (Universitas Negeri Makassar)

SAINSMAT: Jurnal Ilmiah Ilmu Pengetahuan Alam
Vol. 5 No. 2 (2016): Volume 5 Nomor 2 (September 2016)

The paper of this research is to discuss SITR mathematical model for the Spread of tuberculosis disease. Thedata used is secondary data of tuberculosis patients obtained from Public Health Office of South Sulawesi Province in 2015. The discussion starts from constructing an SITR mathematical model of tuberculosis disease, determining the equilibrium point, thenlook ing for stability analysis of equilibrium point, determining the basic reproduction value (Ro), mak ing model simulation, and interpreting them. In this paper we obtained an SITR mathematical model for tuberculosis, disease-free and endemic equilibriumpoints of the SITR model, the global stability of disease-free and endemic equilibrium from the SITR model with the basic reproduction value Ro = 1,04336331 indicates that tuberculosis disease is endemic.