Abstrak. Penelitian ini bertujuan untuk membangun model penyebaran penyakit tuberkulosis tipe SEIRS (Susceptible- Exposed- Infected- Recovered- Susceptible) dengan menambahkan asumsi bahwa manusia yang pulih dapat rentan kembali terkena tuberkulosis. Model ini dibagi menjadi empat kelas yaitu, rentan, terinfeksi tapi belum aktif, terinfeksi, dan sembuh. Data yang digunakan adalah data jumlah penderita penyakit tuberkulosis dari Dinas Kesehatan Kota Makassar tahun 2017. Model matematika tipe SEIRS digunakan untuk menentukan titik equilibrium. Berdasarkan hasil simulasi model SEIRS diperoleh bilangan reproduksi dasar ( ) sebesar 0,312 berarti bahwa seseorang yang terinfeksi penyakit tuberkulosis tidak menyebabkan orang lain terkena penyakit tuberkulosis di wilayah Kota Makassar.Kata Kunci: Titik Equilibrium, Bilangan Reproduksi Dasar, Tuberkulosis, Model SEIRS, Pemodelan.Abstract. This research aims to model of tuberculosis type SEIRS (Susceptible-Exposed-Infected-Recovery-Susceptible) by adding assumption that human that has been recovered can be suspected again by Tuberculosis. This model can be divided to four classes, those are suspected, exposed, infected, and recovered. The data that used is data on the number of tuberculosis sufferer from Health Department in Makassar City 2017. Mathematicsl model of SEIRS type is used to determine the equilibrium point. According to the simulation results of SEIRS model, obtained the base reproduction number ( ) is 0.312 means that people who infected by tuberculosis does not causes other people get tuberculosis in Makassat city.Keywords: Equilibrium Point, Basic Reproduction Numbers, Tuberculosis, SEIRS Model, modeling.
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