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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)

Dynamic Analysis of COVID-19 Model with Quarantine and Isolation Rois, Muhammad Abdurrahman; Trisilowati, Trisilowati; Habibah, Ummu
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.5167

Abstract

This study discusses the dynamic analysis of the COVID-19 model with quarantine and isolation. The population in this model is divided into seven subpopulations: subpopulation of susceptible, exposed, asymptomatic, symptomatic, quarantine, isolated and recovered. Two equilibrium points were obtained based on the analysis results, namely the disease-free and endemic equilibrium points. The existence and local stability of the equilibrium point depends on the value of the basic reproduction number . Then, the point of disease-free equilibrium always exists, and the point of endemic equilibrium exists when it meets . The point of disease-free equilibrium is locally asymptotically stable when it satisfies  and the endemic equilibrium point is locally asymptotically stable with conditions. Furthermore, numerical simulations are carried out to determine the model's behavior using the fourth-order Runge-Kutta method. The numerical simulation obtained supports the dynamic analysis results. Finally, the graphical results are presented. The findings here suggest that human-to-human contact is a potential cause of the COVID-19 outbreak. Therefore, quarantine of susceptible and exposed subpopulations can reduce the risk of infection. Likewise, isolation of infected subpopulations can reduce the risk of spreading COVID-19.
Co-Authors Achmad Fauzi anasya, rayza disa Angelin, Sheva Ardiana, Dita Aulia, Rifqo Nida Azhar, Ahmad Nabil Azhari, Zikro Muhammad Azzizah, Nur Bachtiar, Ryko Muhammad CAHYATI, MIA Darmanto, Arief Gunawan Edy Rizal Wahyudi Ekawati, Rara Endah Hendarwati, Endah Farozi, Farozi Fatun Febriyana, Frida Florence Pribadi Gultom, Coan Aje Wardhana Herlin, Dhiya Dwi Putri Hermawan, Dinda Ramadanti Islam, Muhammad Thoriqul Kamelia, Sania Lilia Indriani Luke, Kevin Maftukhin Maftukhin Mardhika, Della Medrano, Fermin Franco Mona Dewi Utari Muallimah, Annida Mubina, Sita Nur Fathan mufida, farhanan atsana Muhajir Muhajir, Muhajir Mulya Lezani, Nadine Muniroh, Kunnisai Murdani Abdullah Nabila, Putri Syaura NADIA, ANIS Naffa, Fityatun Nia Desriva Nisa, Umi Sofiatun Novitasari, Dwiana Noviyanti, Lusi Nur Hamidah, Nur nurdini, rini Nurkamila, Siti Nurkarimah, Dwi Pane, Vina Vicolya Octavia Patrisia, Cindi Permana, Adith Chandra Pratiwi, Ashfi Pri Andini, Sisca Putri, Debi Rossa Putri, Tiara Azahra Wika Rachman, Alifira Meliana Renowati, Renowati Rois, Muhammad Abdurrahman Rokayah, Siti Sabela, Afina Sal Safitri, Novita Aulia Salsabila, Yelza Saputra, Ridho Egi Adi Sari, Della Ayu Puspita Sarifudin sarifudin, Sarifudin Sa’adah, Umu SEPTIANI, AMANDA DWI Setiawan, Adinda Setiawan, Dhani Shofiyya, Nada Sidik, Anwar Siregar, Siti Halimah Boru Siti Halidjah Siti Zubaidah Su miati, Su Sucahyo, Yoselyn Sugiyono . Suhardi, Muhamad Sukamto Koesnoe Susilo Surahman SYAHITA, ORIN Tambuang, Christ Trisilowati Trisilowati Trisilowati, Trisilowati Umu Salamah wahyudin, wawan Widiyah, Jani Widyaningsih, Susi Wiraputri, Arini Wuryasari Muharini Kusumawinahyu Yanti, Perdani