An epidemic model is presented to study the dynamical spread of Ebola in the communities.We show that there exist a unique solution. Furthermore,the model has a disease free equilibrium which is locally asymptotically stable whenever the threshold quantity Reproduction number is less than unity. Numerical simulation shows that if the detection rate of infected undetected individuals is sufficiently large, then, the isolation technique can lead to elimination of ebola in the population. Result also shows that if the isolation rate of Exposed and Infected individuals is high and the effective contact rate ranges between (0.113-0.9), the disease can also be eradicated in the community.
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