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Journal : BAREKENG: Jurnal Ilmu Matematika dan Terapan

MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS Inayah, Nur; Manaqib, Muhammad; Fitriyati, Nina; Yupinto, Ikhwal
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (890.372 KB) | DOI: 10.30598/barekengvol14iss3pp459-472

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.
Co-Authors A, Marya Abidin, Saenal abu, ilham Adnan Adnan Adzim, Syahrun Afit Kurniawan Ahmadong, Ahmadong Alifiansyah, Fikri Alwi Alwi Amiruddin Amiruddin Amiruddin Anas Qolbu, Adinda Andrew Fiade Andriani, Desi Fatimah Andriani, Puspa Sari Ardiansyah, Rama Arif Budiman Arumdani, Salsabila Asyurah Khas, Suci Aulinnia, Via Azhari, Nadia Devisa Bambang Purwanto Budi Utomo Choerunnisa, Esti Cholisa Rosanti Dermawan, Zikri Setia Dewi Dewi Diani Ayu Pratiwi Dwi Arsita Mursalim, Dwi Arsita Mursalim Elfrida Ratnawati Endry Fatimaningsih Fadillah, Muhammad Febry Fahira, Ainun Firmah, Andi Firmansyah Firmansyah Firmansyah, Nur Putriani Fitriahadi, Enny Hajrah Hajrah, Hajrah Hargiani, Fransisca Xaveria Hifdil Islam, Muhammad Hildawati Almah Huda, Nabila Ibrahim, Firmansyah Ikbal Inna, Suma Karlina, Dety Amelia Kustiana Arisanti Lailia Maghfiroh, Ummi Laksmi Ernawati, Ni Made Latif, Fatmawati Lestari, Evi Maulidia Lindhemutianingrum Siradje, Andi Mappatunru , Sakkirang Marwah Marwah Marya A, Marya A Masyithoh, Soffi Nur Mayasari, Andi Meliala, Alvina R. Muh. Rizal MUHAMMAD HASBI Muhammad Kafrawi Muhammad Manaqib, Muhammad Muhaza Liebenlito Munawir, Ahmad Musti, M. Irvan Septiar Mutmainna Nina Fitriyati Novianti, Anggi Nur Hikmah Nurdinah Hanifah Nurfadilah Nurhayadi Nurhidayanti Rachman Saleh Rahmadani, Nurul Syafa Rahman Ratno Agriyanto Razak, Yusuf Razaq, Yusuf Reza Maulana Reza, Reza RIRIN INDRAWATI Riska Amalia Rita Rita, Rita Rizka Safitri, Rizka Rizkiani, Firliah Safitri, Mutiara Saleh, Rachman Salsabila, Rani Sari, Flori Ratna Saskirana Satila, Hanna Trusty Satriani Satriani Satriani Septiar, M. Irvan Siti Maemunah Slamet Ifandi, Slamet Sofarida, Wiwin Sutanto, Taufik Edy Syafira, Nida Tang, Muhammad Touku Umar Tridiyawati, Feva Ulfah, Yeniati Warno, W Wayan Wangiyana Widistari, Sri Wijaya, Madona Yunita Yuli Puji Astutik, Yuli Yupinto, Ikhwal Zakariah, Miftahul Hidayah