Cost-effectiveness analysis of a cholera model with awareness programs and limited resources

Abstract

In this paper, we developed a mathematical model to describe the dynamics of Cholera with awareness programs under limited resources. The model was fully analysed and the threshold for the eradication of the disease was given. It was proven that the model undergoes a backward bifurcation under certain conditions. The model is then extended to include optimal controls, namely: vaccination of susceptible individuals, killing of vectors, and water sanitation. Numerical simulations for the application of a single control, combinations of two controls and all three controls were given. Cost-effectiveness analysis was carried out in order to determine the most cost-effective control strategies, which was found to be the combination of vaccination and water sanitation.