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All Journal Jurnal Ilmu dan Teknologi Kelautan Tropis Saintek Perikanan : Indonesian Journal of Fisheries Science and Technology EDUSAINS STUDIA ISLAMIKA Jurnal Sejarah Jurnal Penelitian Pendidikan IPA (JPPIPA) JURNAL INFORMATIKA Martabe : Jurnal Pengabdian Kepada Masyarakat Saintifik : Jurnal Matematika, Sains, dan Pembelajarannya Jurnal Masyarakat dan Budaya Kumawula: Jurnal Pengabdian Kepada Masyarakat Jurnal Abdi Insani Media Gizi Kesmas International Journal Of Science, Technology & Management (IJSTM) Kreatif: Jurnal Pemikiran Pendidikan Agama Islam Nekton Idea Pengabdian Masyarakat An Idea Health Journal MOVE: Journal of Community Service and Engagement Implementasi Manajemen & Kewirausahaan Jurnal BILAL: Bisnis Ekonomi Halal ACROPORA: Jurnal Ilmu Kelautan dan Perikanan Papua Indonesian Journal of Physical Education and Sport Science (IJPESS) Jurnal PkM MIFTEK PENDALAS: Jurnal Penelitian Tindakan Kelas dan Pengabdian Masyarakat An Idea Nursing Journal Depik Jurnal Ilmu-Ilmu Perairan, Pesisir dan Perikanan Ihsanika : Jurnal Pendidikan Agama Islam Transcendent Journal of Mathematics and Applications Jurnal Penelitian Ilmu Ekonomi dan Keuangan Syariah Jurnal Pengabdian Masyarakat dan Riset Pendidikan Sipakaraya : Jurnal Pengabdian Masyarakat Depik Jurnal Ilmu-Ilmu Perairan, Pesisir, dan Perikanan Health Community Service EBAMUKAI; JURNAL PENGABDIAN ILMU PENGETAHUAN DAN TEKNOLOGI Moral : Jurnal Kajian Pendidikan Islam Rahmad Jurnal Studi Islam dan Ilmu Al-Quran Studia Islamika Indonesian Journal of Aerospace
Muhammad Hisyam
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Journal : Transcendent Journal of Mathematics and Applications

 1 
Kontrol Optimal pada Penyebaran Penyakit Campak Model SIR Samosir, Restika; Sihombing, Yosina Arni; Sumardi, Sitti Rosnafian; Hisyam, Muhammad
Transcendent Journal of Mathematics and Applications Vol 3, No 2 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i2.42161

Abstract

The SIR model is a model used to group populations into 3 parts, namely susceptible or a subpopulation of individuals who are susceptible to disease, infected or a subpopulation of individuals who are infected and can transmit the disease and recovered or a subpopulation of individuals who have recovered from the disease. Measles is usually treated without a vaccine, so the disease is often found in the community. Giving the right and balanced vaccine will get results that are balanced with what is given. In this research, we develop a SIR model with additional controls. Where the control in this model is vaccination given to subpopulations S and I, so that the recovered subpopulation experiences an increase, because the number of subpopulation I decreases. The method used in this research consists of several steps, namely forming a SIR model which is formed in optimal control and determining the objective function. Next, solve the optimal control problem, which consists of several stages, namely forming the Hamiltonian function and finding states and co-states. Based on the research results, it is concluded that optimal control of the SIR model is obtained by state and co-state equations. Where this model is the result of reducing the Hamiltonian to obtain optimal control in the SIR model.
Co-Authors Abdul Latif Abraham Abraham Aby Prayoga Afan, Yulianus Cia Agamawan, Lalu Panji I. Agus Kristiyanto Agus, Al Ihksan Agus, Al Ikhsan Agustin, Fitria Nina Ahmad Syahrizal Alauna Mizanul Abror Albida Rante Tasak, Albida Rante Alizan Satria Putra Allo, Ceacilia Bintang Girik Amir, Haeril Anita Fibonacci, Anita Asmiddin, Ahmad Maulid Atmajaya, Onesimus Dhyas Dwi Azizah, Faradiva Husna Bangun, Kharida Br Baransano, Natan Bara’padang, Barnabas Barnabas Barapadang Basa T Rumahorbo Claudius Hendraman B. Tobi Dewantari, Nustin Merdiana Dimara, Makdalena Irpa Dodiman, Dodiman Ervina Indrayani Fadhilah Fadhilah Fahrul Razi Faturrohim, Muhammad Ikhsan Fidya Ayesha, Shifa Hanni Fitriya B , Winda Ade Frans Augusthinus Asmuruf Gumilang, Wahyu Candra Handayani, Sri Haryati, Kristina Hasanuddin Hasanuddin Herlini Puspika Sari Herlini Puspita Sari Hutasoit, Jhonatan Rameldo Huwae, Jilian Risky Ibrah Safirah Ipick Setiawan Irawan, Raka Israwan, LM. Fajar Jalaali, Bahrul Jovanika Clarisa Permesti Kainama, Tamara Louraine Jeanette Kalor, John D Kardiyanto, Deddy Whinata Khariroh, Siti Nur Anisatul Lestari, Dita Anggun Lina Affifatusholihah, Lina Liyatin Gea Lolita Tuhumena Lubna Nurlandari M. Yogi Riyantama Isjoni Mahrani, Nana Maklon Warpur Manalu, Khristhoper Aris Arianto Manalu, Kristhoper A. A. Mantayborbir, Vyona Mas, Haris Saputra Maulana, Dheva Yudhistira Miftah Miftah Misbach, Imam Muhammad Cahya Novarian Muhammad Dyan Akram Muhammad Ridwan Musakar, Rafika Dewitasari Kahar Mustika Endah Pratiwi N, Nasrullah Nabilawti, Hijrah Nada Pertiwi Papriani Nasrullah Nasrullah Nastiar, Agim Nazifah Fitri Annisa Nicea Roona Paranoan Nurilfayati, Nurilfayati Nurwahid, Hidayat Nurwijayanti Oktavia, Ria Puspita Ayu Okto Dinaryanto Papriani, Nada Pertiwi Pattola Paulangan, Yunus Pajanjan Pertiwi, Widya Nur Bhakti Popi Ida Laila Ayer Prajnawita, Disny Prambudia, Yudha Puspikawati, Septa Indra Putri Hadi Utami Rahmat Hidayat Raihan Difari Ramadhan, Guntar Ramba, Fitria Yunia RARA, ABD RAHMAN Rasyid M Akib, Abd. Rejauw, Korinus Rhozan Firmansyah Rumahorbo, Basa Tunggul Rumanasen, David Waranda S, Armita Samosir, Restika Satyanegara, Diqbal Sebayang, Susy Katikana Seroja, Taufik Shindy Dwita Nuansari Sihombing, Yosina Arni Sitti Rosnafi’an Sumardi Sri Pujiyati Suarni S. Sumardi, Sitti Rosnafi'an Sumardi, Sitti Rosnafian Suntin, Suntin Suswita Tangkelayuk, Herman Teguh Wibowo Tiara Verita Yastica Ula, Shofiatul Umbekna, Sara Wardani, Aisy Nur Waum, Ida Winda Ade Fitriya B Yenusi, Tien Nova B.