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Journal : Journal of Science and Technology

Analisis Model Epidemi Penyebaran Tuberkulosis Dengan Struktur Umur Erna Sari; Asrul Sani; Muh. Kabil Djafar
JOSTECH Journal of Science and Technology Vol 3, No 2: September 2023
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v3i2.6064

Abstract

Tuberculosis (TBC) is a contagious disease caused by infection with the bacterium Mycobacterium tuberculosis (Mtb), which attacks the lungs. taking into account the laten period of individuals infected with tuberculosis, this study uses the SEIRS model. The total population is grouped into two age groups, group child and group adult . The purpose of this research is to determine SEIRS model of the spread tuberculosis disease with age structure and its completion behavior. The steps in analyzing of the model can be done by determining the equilibrium point, the results are obtained two equilibrium points, namely disease-free equilibrium points and endemic equilibrium points. Determine basic reproduction number and stability analysis at the equilibrium point. Analysis of the stability of the disease-free equilibrium point is carried out to find the stability of the model using linearization around the equilibrium point. The simulation result are disease-free equilibrium point is the asymptotic stable if the basic reproduction number is less than one, and it means that the disease will disappear over time, and the endemic equilibrium point is stable if the basic reproduction number is more than one, meaning there is disease spread in the population.
Co-Authors . Rahman . Rahman Abd. Rasyid Syamsuri Abda Abda Abdin Abdul Haadii Abdul Halim Momo Abdul Rizal Ade Ratna Sari Adrian Tawai Ahmad Fajar Alberth, Alberth Alfat, Sayahdin Alfiansyah Alfiansyah Ali Imran Amba, Dian Amiluddin Indi Amiludin Indi Amiruddin Amiruddin Ananda, S.H. Andi Murlina Andi Murlina Tasse Andini Sulfitrana Andri Ananta Andris Surahman Andris Surahman ANSARUDDIN . Aris Ibrahim AS Aku, AS Asiz N. Asma Bio Kimestri Asrifal Asrifal Asrudin, Muhamad Astriana Napirah Azwanda Azwanda Baharuddin Bahriddin Abapihi Bahtiar, . Basri, Sulaiman Danang prasetyo Darmin Darmin Deki Zulkarnain Dewi S, Rachmita Eka Suaib Era Maryanti Erna Erna, Erna Erna Sari Eva Herik Fanny Yulia Irawan Febiang Lopulalan Firman Nasiu Firman Nasiu Firman Nasiu Fitrianingsih Fitrianingsih Fitrianingsih Fitrianingsih Fuji Astuti Auza Fuji Astuty Auza Gazali Gazali Gregoria Ilyani Gunawan, Rifaldi Hafiludin Samparadja Hakim, Muh Haidir Hamdan Has Harapin Hafid H. Helpi Pebriani Herman, Sriyana Hermanto T. Joewono Herwan Herwan Hidjaya, Lona I Putu Nara Prasanjaya I Wayam Sura Ibrahim, Aris Ida Sriwaty Sunarjo Ida Usman Inderawati, Inderawati Ismawati Ismawati Jabuddin, La Ode Jafar Jafar Jafriati Jaya Jaya Jubirman, Jubirman Jumareng, Hasanuddin Junaid Junaid Kasmar Kasmar Kasmar Kasmar Kemistri, Asma Bio Khaerudin Khaerudin Krishna Agung Santosa La Amin La Aso La Malesi La Ode Ba'a La Ode Baa La Ode Hadini La Ode Hermawan La Ode Muh. Safaat La Ode Muhamad Munadi La Ode Nafiu La Ode Sahaba LA ODE SYUKUR, LA ODE M.R. Yosmi Antus Misran Safar Momo, Abdul Halim Muh Haidir Hakim Muh Nasir Muh. Rusdin Muh. Yasin, Muh. Muh. Yusuf Muhammad Amrullah Pagala Muhammad Azhar saleh Muhammad Diwan Muhammad Diwan Muhammad Kabil Djafar Mukhsar . Munadi Munadi Musram Abadi Mustamin Anggo Mychael Maoeretz Engel Natsir Sandiah Neli, Neli Ningsih, Sitti Rahmiati Nita Nita Nono Ngadiyono Nur Santy Asminaya Nur, Rifai Nuraini Nuraini Nuraini Nuraini Nurdian, Nurdian Nurhayu Nuriadin Nuriadin Nurjani Nurjani Putra Wiadnyana Putu Nara Kusuma Prasanjaya Rahman Rahman Rahman Rahmat Alimuddin Rahmat Rahmat Reni, Wa Restu Libriani Rina Astarika, Rina Rinawanti, Rinawanti Rusli Badaruddin Sabay Parda, Ahmad Fainal Sahara Sahara Salsabila, Unik Hanifah Samiruddin, Samiruddin Sartina, Sartina Sediyaningsih, Sri Silondae, Ratna Sitti Sarina Sri, Helmina Surahmanto Sutiana Sutiana Syahri Nehru Husain, Syahri Nehru Syam Rahadi Syamsuddin Syamsuddin Syamsuddin Syamsuddin Syamsuddin Syamsudin Syamsudin Syukur Syukur TAKDIR SAILI Takdir Salili Titi Titi Usman Rianse Utari, Komang Karisma Vanny Inessary W. Kurniawan Wa Fiana, Wa Fiana Wa Laili Salido Wa Ode Sunaria Wati, Dwi Asridha William Adri Sigarlaki Yamin Yaddi Yulistia, Iin Yuni Lestari Yuni Lestari Yusuf, La Ode Muh