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All Journal Jurnal MIPA Wahana Matematika dan Sains Jurnal Pendidikan Sains Journal on Mathematics Education (JME) Journal on Mathematics Education (JME) AKSIOMA: Jurnal Program Studi Pendidikan Matematika Kubik JIPM (Jurnal Ilmiah Pendidikan Matematika) EDU-MAT: Jurnal Pendidikan Matematika Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Al-Jabar : Jurnal Pendidikan Matematika Briliant: Jurnal Riset dan Konseptual Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Jurnal Kajian Pembelajaran Matematika Jurnal Mercumatika : Jurnal Penelitian Matematika dan Pendidikan Matematika JRPM (Jurnal Review Pembelajaran Matematika) JMPM: Jurnal Matematika dan Pendidikan Matematika PRISMA JOHME: Journal of Holistic Mathematics Education IndoMath: Indonesia Mathematics Education BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Tadris Matematika MENDIDIK: Jurnal Kajian Pendidikan dan Pengajaran Jurnal Cendekia : Jurnal Pendidikan Matematika PEDULI: Jurnal Imiah Pengabdian Pada Masyarakat International Journal of Insights for Mathematics Teaching (IJOIMT) Jurnal Paedagogy KUBIK: Jurnal Publikasi Ilmiah Matematika Indian Journal of Forensic Medicine & Toxicology Kognitif: Jurnal Riset HOTS Pendidikan Matematika Journal of Disruptive Learning Innovation (JODLI) Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya Journal of Education for Sustainability and Diversity Jurnal MIPA dan Pembelajarannya Jurnal Ekonomi, Bisnis dan Pendidikan (JEBP) PEDAMAS (Pengabdian Kepada Masyarakat) Prosiding Seminar Nasional Pengabdian kepada Masyarakat (SINAPMAS) Jurnal Tadris Matematika
Tjang Daniel Chandra
Universitas Negeri Malang
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Journal : Jurnal MIPA

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Analisis Kestabilan Model Epidemi Sjat Pada Penyebaran Penyakit Aids Di Kecamatan Pujer Kabupaten Bondowoso Chandra, Tjang Daniel; Putri, Agesta Ameliya
Jurnal MIPA Vol 10, No 2 (2021)
Publisher : Sam Ratulangi University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35799/jmuo.10.2.2021.34090

Abstract

HIV berkembang menjadi Acquired Immune Deficiency Syndrome (AIDS) mengakibatkan kematian dengan melemahnya sistem imun dan mudahnya penyakit masuk ke dalam tubuh seseorang. Model matematika SJAT digunakan untuk menganalisis penyebaran AIDS dengan terdiri empat kelas yaitu kelas individu rentan, kelas individu terinfeksi HIV dengan gejala, kelas individu AIDS dan kelas individu mendapatkan pengobatan ARV. Tujuan penelitian ini yaitu melihat dinamika penyebaran penyakit AIDS, melakukan simulasi model terhadap penyebaran penyait AIDS di Kecamatan Pujer Kabupaten Bondowoso. Tahap menganalisis model yaitu mencari titik kesetimbangan, menganalisa titik setimbang, mencari bilangan reproduksi dasar, dan melakukan simulasi model menggunakan maple17. Berdasarkan hasil analisa diperoleh 0,02222489365  Sehingga mempunyai titik setimbang bebas penyakit. Artinya, pada waktu lama proporsi individu akan menuju titik kesetimbangan dengan rata-rata penyakit AIDS dalam populasi sudah tidak menyebarHIV develops into Acquired Immune Deficiency Syndrome (AIDS) resulting in death by weakening the immune system and the ease with which diseases enter a person's body. The SJAT mathematical model is used to analyze the spread of AIDS and consists of four classes, namely a class of susceptible individuals, a class of HIV-infected individuals with symptoms, a class of AIDS individuals and a class of individuals receiving ARV treatment. The purpose of this study is to analyze the stability of the SJAT Epidemic Model Stability on the HIV/AIDS AIDS in Pujer District Bondowoso Regency. The stage of analyzing the model is to find the equilibrium point, analyze the equilibrium point, find the basic reproduction number, and simulate the model using maple17. Based on the analysis results obtained . So that it has a disease-free equilibrium point. This means that in a long time the proportion of individuals will come to a point of equilibrium with the average AIDS disease in the population has not spread
Co-Authors Abadyo Abadyo Abdur Rahman As’ari Achmad Faruq Achmad Faruq, Achmad Adika Setyo Budi Lestari Agung Prasetyo Abadi Agustin, Nana Maulidah Aini Renanda Alifiana Mareta Andika Setyo Budi Lestari Anis Suraida Safitri Anita Dwi Septian Anita, Yuli Aprilia Dwi Mayangsari Arlina Trie Cahyono Atmaja, Muhammad Galih Aziz Rizky Muhdiyanto Baehaqi, Mohammad Romdhon Cholis Sadijah, Cholis Cholis Sa’dijah Dahliatul Hasanah Dwi Hidayanti, Dwi Dwi Roudhotillah Dwiyana Dwiyana Edy Bambang Irawan Erry Hidayanto Fadhila Kartika Sari Fauzan, Hakmi Rais Fauziyyah Alimuddin Ferdiansyah, Hanief Febry Fidia Lestariningsih Hery Susanto Hery Susanto I Made Sulandra I Nengah Parta Ida Ayu Putu Sri Widnyani Ika Rahayu Sintiya Dewi Indrawatiningsih, Nonik Ipung Yuwono Ipung Yuwono, Ipung Kamaliyah Kadir Kridha Pusawidjayanti Lathiful Anwar Laurentcia Noviafta Widya Lestari, Andika Setyo Budi Makbul Muksar Marini Marini Maughfiroh Firdausi, Unzil Muhammad Galih Atmaja Mukhammad Solikhin Mustaghisa, Agis Nana Maulidah Agustin Nathasa Pramudita Irianti Nathasa Pramudita Irianti, Nathasa Pramudita Nunung Nurjanah Nuratiqoh, Nuratiqoh Nurul Audhifa Utami Permata, Gloria Indah Permatasari, Putri Intan Pradina Parameswari Purwanto Purwanto Purwosetiyono, Fransiskus Xaverius Didik Putri, Agesta Ameliya Putu Evi Paramithasari Wardana Qohar, Abd. Rachmalia Vinda Kusuma Rahmadani, Desi Rani Martalisa Taorina Renanda, Aini Reza Umami Khoirunisa' Rianti Mandasari Rizka Zulvana Wardhani Roudhotillah, Dwi Rustanto Rahardi Saddam Hussen Saputri, Risma Rintias Sari, Feti Eka Ratna Sisworo Sri Mulyati Sri Mulyati Subanji Subanji Susilawati Susilawati Susiswo Swasono Rahardjo Syaiful Hamzah Nasution Thomas Soseco Toto Nusantara Varetha Lisarani Vita Kusumasari Wasilatul Murtafiah Widya, Laurentcia Noviafta Zahroh, Indrani Eka Prastya Zida Amalia