Epsilon: Jurnal Matematika Murni dan Terapan
Vol. 16(2), 2022

PEMODELAN MATEMATIKA PENYEBARAN COVID-19 DENGAN MODEL SVEIR

Gian Septiansyah (Program Studi Matematika Fakultas MIPA Universitas Lambung Mangkurat Jl. A. Yani KM. 36, Banjarbaru 70714, Kalimantan Selatan)
Muhammad Ahsar Karim (Program Studi Matematika Fakultas MIPA Universitas Lambung Mangkurat Jl. A. Yani KM. 36, Banjarbaru 70714, Kalimantan Selatan)
Yuni Yulida (Program Studi Matematika Fakultas MIPA Universitas Lambung Mangkurat Jl. A. Yani KM. 36, Banjarbaru 70714, Kalimantan Selatan)



Article Info

Publish Date
01 Dec 2022

Abstract

Coronavirus disease 2019 or also known as Covid-19 is a disease caused by a type of coronavirus called Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) or better known as the corona virus. Covid-19 become a pandemic since 2020 and has been widely studied, one of which is in mathematical modeling. In this study, the spread of Covid-19 is modeled using the SVEIR (Susceptible, Vaccination, Exposed, Infected, and Recovered) model. The purpose of this study explains the formation of the Covid-19 SVEIR model, determines the equilibrium point, determines the basic reproduction number, and analyzes the stability of the Covid-19 SVEIR model. The purpose of this study explains the formation of the Covid-19 SVEIR model, determines the equilibrium point, the basic reproduction number, and analyzes the stability of the Covid-19 SVEIR model. The result of this study is to explain the formation of the Covid-19 SVEIR model and obtained two equilibrium points, the disease-free equilibrium point and the endemic equilibrium point. Furthermore, the basic reproduction number  is obtained through the Next Generation Matrix method. The results of the stability analysis at the disease-free equilibrium point were locally asymptotically stable with conditions  while at the endemic equilibrium point local asymptotically stable with conditions . The natural death rate is greater than the effective contact rate. A numerical simulation is presented to show a comparison spread of Covid-19 by providing different levels of vaccine effectiveness using the Runge-Kutta Order method.

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Journal Info

Abbrev

epsilon

Publisher

Subject

Decision Sciences, Operations Research & Management Transportation

Description

Jurnal Matematika Murni dan Terapan Epsilon is a mathematics journal which is devoted to research articles from all fields of pure and applied mathematics including 1. Mathematical Analysis 2. Applied Mathematics 3. Algebra 4. Statistics 5. Computational ...