Mathematical modeling, analysis and simulation of Ebola epidemics

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 populationsý. ýMany existing models closely approximate historical disease patternsý. ýThis article investigates the mathematical model of the deadly disease with severe and uncontrollable bleedingý, ýEbola which is currently becoming the headache of the whole world though effort to control is undergoingý. ýIn this paper a new mathematical model of the Ebola epidemic is builtý. ýBesidesý, ýthe basic reproduction number is calculated and the stability of both disease free and endemic equilibrium is provedý. ýFinallyý, ýnumerical simulations are executed to further consolidate the analysis of the deadly disease Ebola.