MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS
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...
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| Format: | Article |
| Language: | English |
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Universitas Pattimura
2020-10-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/2313 |
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| author | Nur Inayah Muhammad Manaqib Nina Fitriyati Ikhwal Yupinto |
| author_facet | Nur Inayah Muhammad Manaqib Nina Fitriyati Ikhwal Yupinto |
| author_sort | Nur Inayah |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-424cd19282974da1bbdd8d9152c41927 |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2020-10-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-424cd19282974da1bbdd8d9152c419272025-08-20T03:37:37ZengUniversitas PattimuraBarekeng1978-72272615-30172020-10-0114345947210.30598/barekengvol14iss3pp459-4722313MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDISNur Inayah0Muhammad Manaqib1Nina Fitriyati2Ikhwal Yupinto3Universitas Islam Negri Syarif Hidayatullah JakartaUIN Syarif Hidayatullah JakartaUniversitas Islam Negri Syarif Hidayatullah JakartaUniversitas Islam Negri Syarif Hidayatullah JakartaThis 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.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/2313tuberculosisequilibrium point stabilitybasic reproduction number |
| spellingShingle | Nur Inayah Muhammad Manaqib Nina Fitriyati Ikhwal Yupinto MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS Barekeng tuberculosis equilibrium point stability basic reproduction number |
| title | MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS |
| title_full | MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS |
| title_fullStr | MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS |
| title_full_unstemmed | MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS |
| title_short | MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS |
| title_sort | model matematika penyebaran penyakit pulmonary tuberculosis dengan penggunaan masker medis |
| topic | tuberculosis equilibrium point stability basic reproduction number |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/2313 |
| work_keys_str_mv | AT nurinayah modelmatematikapenyebaranpenyakitpulmonarytuberculosisdenganpenggunaanmaskermedis AT muhammadmanaqib modelmatematikapenyebaranpenyakitpulmonarytuberculosisdenganpenggunaanmaskermedis AT ninafitriyati modelmatematikapenyebaranpenyakitpulmonarytuberculosisdenganpenggunaanmaskermedis AT ikhwalyupinto modelmatematikapenyebaranpenyakitpulmonarytuberculosisdenganpenggunaanmaskermedis |