In this paper, we consider a system of ordinary differential equations which describes the transmission of Ebola virus in Liberia [3 - 6]. We have developed and analyze a deterministic model for controlling the spread of EVD in a population with vital dynamics (birth and death rates are not equal). This mathematical model, we studied about the impact of measures to control the spread and bury it properly. By providing information about the nature of disease and to protect themselves from infection with susceptible population is considered to raise awareness about the nature of Ebola, to protect yourself from virus, hygiene, use protective equipment when faced with an infected person and most importantly, provide accurate information to the public about moving, touching funeral and burial correct and safe way to reduce the spread.Taking into account factors that affect the spread of disease causing illness in people. The study researches the spread of Ebola virus from infected persons infected two groups of people who are alive and people infected died (Corpse infected).