Pengembangan Model Matematika SIRD (Susceptibles-Infected-Recovery-Deaths) Pada Penyebaran Virus Ebola

  • Endah Purwati UIN Sunan Kalijaga
  • Sugiyanto Sugiyanto UIN Sunan Kalijaga
Keywords: Model matematika SIRD, Virus Ebola, Titik Equil ibrium, Titik Stabilitas Equilibrium;, Dasar Nomor Reproduksi dan Model Simulasi

Abstract

Ebola is a deadly disease caused by a virus and is spread through direct contact with blood or body fluids such as urine, feces, breast milk, saliva and semen. In this case, direct contact means that the blood or body fluids of patients were directly touching the nose, eyes, mouth, or a wound someone open.

In this paper examined two mathematical models SIRD (Susceptibles-Infected-Recovery-Deaths) the spread of the Ebola virus in the human population. Both the mathematical model SIRD on the spread of the Ebola virus is a model by Abdon A. and Emile F. D. G. and research development model. This study was conducted to determine the point of disease-free equilibrium and endemic equilibrium point and stability analysis of the dots, knowing the value of the basic reproduction number (R0) and a simulation model using Matlab software version 6.1.0.450.

From the analysis of the two models, obtained the same point for disease-free equilibrium point with the stability of different points and different points for endemic equilibrium point with the stability of both the same point and the same value to the value of the basic reproduction number (R0). After simulating the model using Matlab software version 6.1.0.450, it can be seen changes in the behavior of the population at any time.

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Author Biography

Sugiyanto Sugiyanto, UIN Sunan Kalijaga

Program Studi Matematika

Published
2016-04-01
Section
Articles