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Journal : CAUCHY: Jurnal Matematika Murni dan Aplikasi

Mathematics Model of COVID-19 with Two-Stage Vaccination, Symptomatic, Asymptomatic, and Quarantine Individuals Inayah, Nur; Manaqib, Muhammad; Fadillah, Muhammad Febry
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 3 (2022): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i3.15188

Abstract

This research developed a model of COVID-19 based on the SEIR model which was further developed by dividing the infected subpopulation into symptomatic and asymptomatic, adding quarantine of infected individuals and vaccination in two steps. Making this model begins with making a compartment diagram of the disease and then forming a system of differential equations. After the model is formed, the disease-free equilibrium point, endemic equilibrium point, and basic reproduction number (R0) are obtained. Analysis of the stability of the disease-free equilibrium point was locally asymptotically stable if R01 and an endemic equilibrium point existed if R01. Numerical simulation for the model that has been made is in line with the analysis. Furthermore, the sensitivity analysis obtained that the parameters that have a significant effect on the spread of COVID-19 are the rate of the first dose vaccination, the rate of contact with symptomatic or asymptomatic individuals, and the rate of quarantine of symptomatic infected individuals.
Co-Authors A, Marya Abidin, Saenal abu, ilham Adnan Adnan Adzim, Syahrun Afit Kurniawan Ahmadong, Ahmadong Alifiansyah, Fikri Alwi Alwi Amiruddin Amiruddin Amiruddin Anas Qolbu, Adinda Andrew Fiade Andriani, Desi Fatimah Andriani, Puspa Sari Ardiansyah, Rama Arif Budiman Arumdani, Salsabila Asyurah Khas, Suci Aulinnia, Via Azhari, Nadia Devisa Bambang Purwanto Budi Utomo Choerunnisa, Esti Cholisa Rosanti Dermawan, Zikri Setia Dewi Dewi Diani Ayu Pratiwi Dwi Arsita Mursalim, Dwi Arsita Mursalim Elfrida Ratnawati Endry Fatimaningsih Fadillah, Muhammad Febry Fahira, Ainun Firmah, Andi Firmansyah Firmansyah Firmansyah, Nur Putriani Fitriahadi, Enny Hajrah Hajrah, Hajrah Hargiani, Fransisca Xaveria Hifdil Islam, Muhammad Hildawati Almah Huda, Nabila Ibrahim, Firmansyah Ikbal Inna, Suma Karlina, Dety Amelia Kustiana Arisanti Lailia Maghfiroh, Ummi Laksmi Ernawati, Ni Made Latif, Fatmawati Lestari, Evi Maulidia Lindhemutianingrum Siradje, Andi Mappatunru , Sakkirang Marwah Marwah Marya A, Marya A Masyithoh, Soffi Nur Mayasari, Andi Meliala, Alvina R. Muh. Rizal MUHAMMAD HASBI Muhammad Kafrawi Muhammad Manaqib, Muhammad Muhaza Liebenlito Munawir, Ahmad Musti, M. Irvan Septiar Mutmainna Nina Fitriyati Novianti, Anggi Nur Hikmah Nurdinah Hanifah Nurfadilah Nurhayadi Nurhidayanti Rachman Saleh Rahmadani, Nurul Syafa Rahman Ratno Agriyanto Razak, Yusuf Razaq, Yusuf Reza Maulana Reza, Reza RIRIN INDRAWATI Riska Amalia Rita Rita, Rita Rizka Safitri, Rizka Rizkiani, Firliah Safitri, Mutiara Saleh, Rachman Salsabila, Rani Sari, Flori Ratna Saskirana Satila, Hanna Trusty Satriani Satriani Satriani Septiar, M. Irvan Siti Maemunah Slamet Ifandi, Slamet Sofarida, Wiwin Sutanto, Taufik Edy Syafira, Nida Tang, Muhammad Touku Umar Tridiyawati, Feva Ulfah, Yeniati Warno, W Wayan Wangiyana Widistari, Sri Wijaya, Madona Yunita Yuli Puji Astutik, Yuli Yupinto, Ikhwal Zakariah, Miftahul Hidayah