Sensitivity Analysis of Ebola Virus Model
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 2, Issue 3
Abstract
A Mathematical model of 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 ) obtained using the next generation matrix technique. The result shows that the DFE is asymptotically stable at Reproduction number less than unity . Reasonable sets of values for the parameter in the model were compiled from existing literatures and Sensitivity analysis indices around the baseline parameter value were computed, which shows that the most sensitive parameter to is the recruitment rate followed by the rate at which exposed individuals are isolated due to contact tracing . Furthermore, the numerical computation of 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.
Authors and Affiliations
M. M. Ojo, F. O. Akinpelu
Keywords
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- EP ID EP338423
- DOI 10.9734/ARJOM/2017/31201
- Views 82
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