Endemicity of cholera in Nigeria: A mathematical model to investigate its nature

Abstract

This work investigates cholera as a disease using mathematical models with
emphasis on its endemic nature. The focal point is to investigate the persistent endemic  nature of cholera in Nigeria using mathematical model. We found that, there can be no backward bifurcation because there existed only one positive endemic equilibrium. In other words, it is not possible for multiple endemic equilibria to exist if the reproduction number is less than one. Even when reproduction number is greater than one, only a single endemic equilibrium is shown to exist. There was however a transcritical
(forward) bifurcation explaining the existence of a single endemic equilibrium