Sensitivity Analysis of Ebola Virus Model

A Mathematical model of (S,E,Iu,Id,Is,R,D) is presented to study the dynamical spread of Ebola in the population. Existence of the Local Stability of the disease–free equilibrium (DFE) was investigated via the threshold parameter (Reproduction number R0 ) obtained using the next generation matrix technique. The result shows that the DFE is asymptotically stable at Reproduction number less than unity (R0 < 1). Reasonable sets of values for the parameter in the model were compiled from existing literatures and Sensitivity analysis indices R0 around the baseline parameter value were computed, which shows that the most sensitive parameter to R0 is the recruitment rate π followed by the rate at which exposed individuals are isolated due to contact tracing σ. Furthermore, the numerical computation of R0 gave a value of 0.16, and numerical simulation was obtained which illustrates the effect of control parameters on the various compartments of the model.