KAJIAN PERILAKU MODEL MATEMATIKA PENULARAN PENYAKIT TUBERCULOSIS
DOI:
https://doi.org/10.25077/jmu.5.2.26-32.2016Abstract
Abstrak. Penyakit Tuberculosis merupakan salah satu penyakit menular yang disebabkanoleh bakteri Mycrobacterium Tuberculosis. Bakteri ini menyebar melalui udara
dan biasanya menyerang paru-paru. Pada saat ini, Tuberculosis menjadi penyakit yang
serius dan mematikan bagi manusia sehingga masyarakat sebaiknya memiliki informasi
untuk mengenali dan mencegah penyakit ini. Dari hasil analisis terhadap model diperoleh
titik kesetimbangan bebas penyakit E
0
dan titik kesetimbangan endemik E
. Selanjutnya
dilakukan analisis kestabilan di sekitar titik-titik kesetimbangan tersebut. Simulasi
numerik untuk kasus endemik memberikan hasil yang sesuai dengan analisis kestabilan.
Kata Kunci: Tuberculosis, model matematika, kasus deteksi, kestabilan, bilangan reproduksi
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