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We perform numerical simulation and sensitivity analysis on a mathematical model of Ebola transmission to determine the biological significance of key model parameters in relation to disease transmissions and prevalence. The indices from the forward sensitivity of Reff affirm that average contacts and transmission rates championed the disease outbreaks. Similarly, a model with multi-intervention strategies has proved to effectively reduce the contact and prevalence of Ebola virus disease than the models with one intervention at a time. This suggests that strategies targeting contact reduction (such as education and isolation) and those that focus on recovery rates (such as prompt treatment of the infected persons) can be successful in curtailing the Ebola epidemic.