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

DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTS

Sugian Nurwijaya (Department of Mathematics Education, Study Program Outside the Main Campus (PSDKU), University of Pattimura, Indonesia)
Ratnah Kurniati MA (Department of Mathematics Education, Study Program Outside the Main Campus (PSDKU), University of Pattimura, Indonesia)
Sigit Sugiarto (Department of Mathematics Education, Study Program Outside the Main Campus (PSDKU), University of Pattimura, Indonesia)

Article Info

Publish Date
11 Jun 2023

Abstract

Ebola Virus Disease (EVD) is an infectious disease with a high mortality rate which is caused by the virus from the family of Filoviridae, genus of Ebolavirus. Therefore, this research works on the developing model of Ebola disease spread with SLSHVEQIHR type. The purpose of this study is to analyze the spread of Ebola disease with the treatments, which are quarantine and vaccination. Then determine the equilibrium point and basic reproduction number (R0). There are two equilibrium points, the disease free equilibrium point and the endemic equilibrium point. The analysis results in the model show that if R0<1 than the disease free equilibrium point is locally asymptotically stable. If R0>1 than the endemic equilibrium point is locally assymptotically stable. Numerical simulations are performed to show the population dynamics when R0<1and R0>1.

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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 ...