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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 Ade Novia Rahma Adriantito Ramadhan Afid Asandi Afra Alifarani Andi Maddeppungeng Annisa Dwita Sari Aref Vai Arif Bijaksana Asep Efendi Asep Rudiyanto Dadan Febriana Dania Agustini Defrianto Hutagalung Deri Rachmad Pratama, Deri Rachmad Dewi Ari Astuti Diana Siregar Dwi Esti Intari Dwi Novi Setiawati Dwi Rahariyoso, Dwi Edison Edison Elfira Safitri Eva Dewi Fadli Ferdiansyah Faziatul Jannah Febriana Sari Fidyatun Hasanah Fiki Ashadi Fitriana Fitriana Haqqelni Nur Rosyidah Hendra Sinambela Heny Kurniawati Holyness Nurdin Singadimedja Iswati Septya Juliana Munthe Julisah Izar Julizar Nazar Khomsatun Yuliatun Laradea Marifni Lilis Raudatul Jannah Lindriana Safitri Lorina Siregar Sudjiman M. Difai Siregar M. Thoriq Athoilllah Maizar Karim Maria Haryanti Butar Butar Mela Yuenita E Melinda Karolina Pasaribu Melvy Utari Permadhi Mhd Andry Kurniawan Muhammad Muhammad Esa Pratama Muhammad Fadhil Mukhlash Abrar Nabila Muthia Indayana Nasir Za’ba Nelli Roza Nur Sahara Lubis Nuraini Aini Nurmawati Nurmawati Nurul Anwar Nurul Fitria Kumala Dewi Oktaviana Kiki Amarilis Oktaviani Kiki Amarilis Priyanto Putri Marsyanda Qayyumidina Silindrika Rado Yendra Rahmawati Ramadi ' Rani Kurniasari Riry Sriningsih Risnawati Risnawati Riyanti Riyanti Rizka Nur Fadilah Pulungan Rizmadan Syah Robby Ilham Alfayet Rohaesih Yuliatin Rustam Ruth Betaria Sitinjak Samuel Kristian Julianto Saridona Siti Alawiyah Koto Soleh, Mohammad Soleh Sonia Novita Sari Srilasmawanti, Srilasmawanti Sudjarwanto Sudjarwanto Suhendry Suhendry Syahran Jailani Thessa Rahma Donita Titin Pesta Sihombing Warni Wartono Wartono Yesi Oktaviani Yulan Dari Yuni Sahara