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Mathematical modeling, analysis and simulation of ebola epidemics

  • Thomas Wetere Tulu*
  • , Tian Boping
  • *Corresponding author for this work
  • Harbin Institute of Technology
  • Addis Ababa Science and Technology University

Research output: Contribution to journalArticlepeer-review

Abstract

Mathematical models are the most important tools in epidemiology to understand previous outbreaks of diseases and to better understand the dynamics of how infections spread through populations. Many existing models closely approximate historical disease patterns. This article investigates the mathematical model of the deadly disease with severe and uncontrollable bleeding, Ebola which is currently becoming the headache of the whole world though effort to control is undergoing. In this paper a new mathematical model of the Ebola epidemic is built. Besides, the basic reproduction number is calculated and the stability of both disease free and endemic equilibrium is proved. Finally, numerical simulations are executed to further consolidate the analysis of the deadly disease Ebola.

Original languageEnglish
Article number9
Pages (from-to)683-693
Number of pages11
JournalBulletin of the Iranian Mathematical Society
Volume43
Issue number3
StatePublished - 2017

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 3 - Good Health and Well-being
    SDG 3 Good Health and Well-being

Keywords

  • Basic reproduction number
  • Epidemic model
  • Equilibrium
  • Global stability

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