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Journal : JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA

Model Susceptible-Infected-Recovered (SIR) Dampak Penerapan PSBB Terhadap Kasus Covid-19 Di Pekanbaru Soleh, Mohammad Soleh; Melvy Utari Permadhi; Wartono; Irma Suryani; Elfira Safitri; Riry Sriningsih
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 1 (2024): Jurnal Derivat (April 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v11i1.4698

Abstract

Covid-19 has become a global pandemic in the 21st century. Various efforts to control its spread have been made. Isolation or regional quarantine is one of the efforts made by almost all countries in the world. Indonesia modified the lockdown by implementing 'Large-Scale Social Restrictions (PSBB)'. Before and during the implementation of PSBB, there have been many pros and cons in the community. By using the SIR model and Euler method, the impact before and after the implementation of PSBB in Pekanbaru city is compared. Based on daily data of Covid-19 cases in Pekanbaru city, it is obtained that the value of the basic reproduction number before and after the implementation of PSBB are  and  respectivel.  This condition confirms that either without or by implementing PSBB, Pekanbaru city will be free from Covid-19. Simulation of Covid-19 cases before and after PSBB graphically also shows a situation that will be free from disease. However, without implementing PSBB, the number of infected will jump drastically after some time even though it will eventually decrease, while by implementing PSBB there is no spike. Thus, the implementation of PSBB can be an alternative to control Covid-19. Keywords: Basic reproduction number, Covid-19, PSBB, SIR model, Euler methods.
Model Susceptible-Infected-Recovered (SIR) Dampak Penerapan PSBB Terhadap Kasus Covid-19 Di Pekanbaru Soleh, Mohammad Soleh; Melvy Utari Permadhi; Wartono; Irma Suryani; Elfira Safitri; Riry Sriningsih
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 1 (2024): Jurnal Derivat (April 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v11i1.4698

Abstract

Covid-19 has become a global pandemic in the 21st century. Various efforts to control its spread have been made. Isolation or regional quarantine is one of the efforts made by almost all countries in the world. Indonesia modified the lockdown by implementing 'Large-Scale Social Restrictions (PSBB)'. Before and during the implementation of PSBB, there have been many pros and cons in the community. By using the SIR model and Euler method, the impact before and after the implementation of PSBB in Pekanbaru city is compared. Based on daily data of Covid-19 cases in Pekanbaru city, it is obtained that the value of the basic reproduction number before and after the implementation of PSBB are  and  respectivel.  This condition confirms that either without or by implementing PSBB, Pekanbaru city will be free from Covid-19. Simulation of Covid-19 cases before and after PSBB graphically also shows a situation that will be free from disease. However, without implementing PSBB, the number of infected will jump drastically after some time even though it will eventually decrease, while by implementing PSBB there is no spike. Thus, the implementation of PSBB can be an alternative to control Covid-19. Keywords: Basic reproduction number, Covid-19, PSBB, SIR model, Euler methods.
Co-Authors A Martino Ade Novia Rahma Agustiawan Agus Ahmad Ahmad Faizal Ahmad Faizal Ahmad Faizal Ahmad Faizal Alfadri, Ramadhan Alfaizan Darman Alfitra Martino Amelia Zahara Andini, Chania Tri Anggraini, Resi Ari Pani Desvina Ayu - Octariana Clara Ramadhania Corry Corazon Marzuki Desasri, Rifa Dewi Sartika Dian Mursyitah Elvina Andiani Gamal, M.D.H Habibis Saleh Hasyratul Najmi Hazirah, Azra Irma Suryani Juliesty Huswina Khotimah Khotimah Kisty, Teshi Amelia Hakilla Latifah Hanum Lestari, Winda Ayu M.D.H Gamal Meli Ermanita Melvy Utari Permadhi Mexdika, Raja Putra Mohammad - Soleh Mohammad Soleh Mohammad Soleh Mohammad Soleh Muhammad Rizki muhammad soleh muhammad soleh Mulyani, Septia Mulyono Mulyono Nanda Putri Miefthawati Nazvira, Mutia Nilwan Andiraja Nilwan Andiraja Nilwan Andiraja Nur Azizah Br Barus Nur Ulfa Nuraisyah, Puteri Nurul Izzah Nusantoro, Dinda Kurniyawan Oktavia, Dhea Rizki Pebriani, Sovi Rahma, Adlul Finy Rahmadeni Rahmadeni Rahmadeni Rahmadeni Rahmadeni Rahmadeni Rahmadeni Rahmadeni Rahmawati Rahmi Yatul Husna M Rahmi, Nafia Resi Anggraini Resti Molina Resti Riafani Retno Ayu Puji Lestari Rielsa, Risca Amelya Rini Eka Putri Rini Erawati Riry Sriningsih Riska Armeliza Riska Wulandari Rudy Kurniawan Rudy Kurniawan Sarbaini Sarbaini Sarbaini Sarbaini Sari, Kiki Indah She Arssy Yesti Soleh, Mohammad Soleh Spastika, Galuh Mreta Sri Basriati Sri Sukmawati Syafrika Yuliarti Wartono Wartono Wartono Wartono Wazna Ulya Wina Yustari Winda Widiarti Yuhandi - - Yulanda, Rahmi Zukrianto, Zukrianto