A Mathematical Model For The Dynamical Behavior Of Ebola Virus Transmission In Human-Bat Population: Implication Of Immediate Discharge Of Recovered Individuals

Abstract

Ebola virus is zoonotic. Earlier research has paid less attention to vector–host transmission dynamics of the virus. In this study, we, therefore, proposed an unprecedented coupled SEIR-SEI epidemic model of the type ShEhIhRh-SbEbIb which predicts the prevalence and virulence of the Ebola virus from bats to humans. More so, since remnants of the virus can still last for days in the fluidic parts of the body after recovery, the recovery class Rh is subdivided into two ( Rhis & Rhni). The sensitivity analysis investigation reveals parameters that have profound effects on the reproduction number. The system is proven to be positive and bounded at all times and the fundamental parameters for invasion, R0h and R0b for both human and bat populations respectively were established to be less than unity. Also, persistence (Endemic) and Disease Free Equilibrium points of the model were ascertained to be asymptotically stable both locally and globally.