Sensitivity Analysis of a Mathematical Modeling of Ebola Virus Population Dynamics in the Presence of Vaccine

Abstract

The virus (Ebola virus) (EBV) belongs to the Filoviri-dae family which is a filovirus and is a serious disease which  leads to hemorrhagic disease in human and non human such as chimpanzee, gorilla, porcupine, fruit bats etc. In  this paper, a mathematical modeling for the population dynamics of EBV diseases in the presence of vaccination  was developed. The research shows that, using the human control reproduction number ( R_c )as response and  infectious individual as response function, that the sensitive parameters in the formulated system (1) are the  personal hygiene (ε ), humans to human contact rate ( β₁ ), modification parameter (η ), human vaccination rate ( ρ ), proper burial (φ ) and humans natural mortality rate (μ_h ). The study shows that personal hygiene rate, effective  contact rate of humans, natural mortality of humans’ rate, vaccination rate and proper burial rate are very sensitive  to both reproduction number and infectious humans.