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Journal : Jambura Journal of Biomathematics (JJBM)

Analisis Dinamik Model Penyebaran COVID-19 dengan Vaksinasi Resmawan, Resmawan; Yahya, Lailany; Pakaya, Revandi S.; Panigoro, Hasan S.; Nuha, Agusyarif Rezka
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 1: June 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i1.13176

Abstract

Coronavirus Disease 2019 (COVID-19) is a new type of virus from a large family of viruses transmitted between humans and animals (zoonotically transmitted) that was first discovered in Wuhan City, Hubei Province, China in late 2019 which is still widespread and threat throughout the world including Indonesia. This article discussed about the mathematical model of the spread of COVID-19 with vaccinations. In this case, the human population is divided into 5 classes, namely the suspected, vaccine, exposed, infected and recovered classes. The constructed model forms an SVEIR model that has two equilibrium points, namely disease-free and endemic equilibrium points. Stability analysis shows that the equilibrium point is stable local and global asymptotic if R0 1 and unstable if R0 1. Then a sensitivity analysis was carried out to determine the parameters that greatly affect the model as well as furthermore, numerical simulations are given to describe the behavior of the model that has been obtained based on the analysis of the sensitivity of basic reproductive numbers, obtained several parameters that affect the spread of COVID-19. Numerical simulation results show that vaccination can suppress the addition of infected populations and depend on the level of effectiveness of vaccination.
Co-Authors Abdul, Nur Safitri Agung, Andi Aliwu, Randa Resvitasari Andi Agung Anggraini, Fitriana Anissa Dwi Wijayanti Armayani Arsal Asriadi Asriadi Asriadi Asriadi Aswata Wisnuadji Bertu Rianto Takaendengan Biga, Azril Saputra Chasanah, Sri Istiyarti Uswatun Dewi Rahmawaty Isa Djibran, Fahrudin Djihad Wungguli Djuma, Clara Anggriani Eko Sulistyono Sulistyono Fajri Ikhsan Franky Alfrits Oroh Ghivahri Sidik Mokoagow Hasan S. Panigoro Hasan, Riyanto Hendri, Excel Muhammad Hinelo, Ikrar Prasetyo Ibrahim, Novita Ismail Djakaria Isran K Hasan Janna, Miftahul K. Nasib, Salmun Kai, Ferawati La Ode Nashar Lailany Yahya Laita, Nazrilla Hasan Lindrawati Abdjul Mahmud, Sri Lestari Melasarah Deswita Rahmadi Miftahul Huda Moh Dody Afandi Rauf Mohamad, Regina Muhammad Ikhlas Muhammad Rifai Katili Nadiyyah, Ana Nento, Abdul Djabar Nina Valentika NISKY IMANSYAH YAHYA Novianita Achmad NUR ’AIN SUPU Nursiya Bito Nurwan Nurwan Nurwan Nurwan NURWAN NURWAN Nurwan, Nurwan Pakaya, Revandi S. Rahman, Gusti Arviana Rahmi, Emli Rasmawati Rasmawati Rasyid, Kamelia Rauf, Moh Dody Afandi Resmawan Resmawan Rozikin, Muhammad Rusniwati S. Imran Salmun K. Nasib Saltina, Saltina Sari, Lia Nanda Sidik Susilo Sigar, Leidi Siti Nurmardia Abdussamad Sri Istiyarti Uswatun Chasanah Sri Istiyarti Uswatun Chasanah Sri Lestari Mahmud Sri Meylanti S. Ali Sugito Mahendra Imran Syafrudin, Marisa Syarif Abdullah Taulia Damayanti Usfita Kiftiyani Usman, Nunung Usman, Sri Adiningsi B. Valentika, Nina Wafa, Moh. Shohibul Widyastutifajri Nuha Yazid Rukmayadi Zaqiyah, Arfatuz