Mathematical modeling, analysis and simulation of Ebola epidemics

Document Type : Research Paper

Authors

1 Harbin Institute of Technology‎, ‎Department of Mathematics‎, ‎Harbin‎, ‎China and Addis Ababa Science and Technology University‎, ‎Addis Ababa‎, ‎Ethiopia.

2 Harbin Institute of Technology‎, ‎Department of Mathematics‎, ‎Harbin‎, ‎China.

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.

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References

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Bulletin of the Iranian Mathematical Society
Volume 43, Issue 3
June 2017
Pages 683-693

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History

  • Receive Date: 29 April 2015
  • Revise Date: 11 January 2016
  • Accept Date: 11 January 2016

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