Springer and the Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X43320170630Mathematical modeling, analysis and simulation of Ebola epidemics683693957ENT.Wetere TuluHarbin Institute of Technology, Department of Mathematics, Harbin, China
and Addis Ababa Science and Technology University, Addis Ababa, Ethiopia.T.BopingHarbin Institute of Technology, Department of Mathematics, Harbin, China.Journal Article20150429Mathematical 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.http://bims.iranjournals.ir/article_957_813ca39b1e7c5ffd53b4eddc4652ed6a.pdf