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
DOI: https://doi.org/10.30598/barekengvol17iss2pp0615-0624
Keywords: dynamical system, Ebola virus disease, equilibrium point, stability analysis

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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Published
2023-06-11
How to Cite
[1]
S. Nurwijaya, R. MA, and S. Sugiarto, “DYNAMICAL SYSTEM FOR EBOLA OUTBREAK WITHIN QUARANTINE AND VACCINATION TREATMENTS”, BAREKENG: J. Math. & App., vol. 17, no. 2, pp. 0615-0624, Jun. 2023.
Issue
Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2023 Sugian Nurwijaya, Ratnah Kurniati MA, Sigit Sugiarto

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