MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS

  • Nur Inayah Universitas Islam Negri Syarif Hidayatullah Jakarta
  • Muhammad Manaqib UIN Syarif Hidayatullah Jakarta
  • Nina Fitriyati Universitas Islam Negri Syarif Hidayatullah Jakarta
  • Ikhwal Yupinto Universitas Islam Negri Syarif Hidayatullah Jakarta
DOI: https://doi.org/10.30598/barekengvol14iss3pp461-472
Keywords: Tuberculosis, Equilibrium Point Stability, Basic Reproduction Number

Abstract

This research developed a model of tuberculosis disease spread using the SIR model with addition of the medical mask usage factor. First, we create a diagram of the tuberculosis disease spread compartment through contact between individuals with medical mask usage. After that, we construct a system of nonlinear differential equations  based on the compartment diagram and then find the disease-free equilibrium point, the endemic equilibrium point, and the initial reproduction number . We use linearization to analyze of the disease-free equilibrium point. The disease-free equilibrium point obtained is asymptotically stable at .  The simulation result shows that the value of  . It means that tuberculosis disease in the future will disappear. But if we reduce the value of medical mask usage and increase the value of tuberculosis disease spread, the value . It means that tuberculosis diseases can become an outbreak.

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Published
2020-10-12
How to Cite
[1]
N. Inayah, M. Manaqib, N. Fitriyati, and I. Yupinto, “MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS”, BAREKENG: J. Math. & App., vol. 14, no. 3, pp. 461-472, Oct. 2020.
Issue
Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Section
Articles

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