BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications

DYNAMICAL SYSTEM FOR COVID-19 OUTBREAK WITHIN VACCINATION TREATMENT

Sugiarto, Sigit (Unknown)
MA, Ratnah Kurniati (Unknown)
Nurwijaya, Sugian (Unknown)

Article Info

Publish Date
11 Jun 2023

Abstract

Covid-19 is a deadly infectious disease that occurs throughout the world. Therefore, it is necessary to prevent the transmission of Covid-19 such as vaccination. The purpose of this research is to modify the model of the spread of the Covid-19 disease from the previous model. The equilibrium points and the basic reproduction number ( ) of the modified model is determined. Then a stability analysis was carried out and a numerical simulation was carried out to see the dynamics of the population that occurred. The analysis performed on the model obtained two equilibriums, namely the disease-freeequilibrium and the endemic equilibrium. Disease-free equilibrium are locally asymptotically stable if . Meanwhile, the endemic equilibrium is locally asymptotically stable if . The numerical simulation results show the same results as the analytical results.

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Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...