Analysis of the Effect of Vaccination, Efficient Surveillance and Treatment on the Transmission Dynamics of Cholera

Abstract

In this study, we presented a modified SIR-SI model to investigate the dynamics and potential controls for cholera transmission, with an incident rate equipped with a saturation factor to investigate the combined impact of three vital measures which include effective surveillance, vaccination campaign and proper treatment in case severity. We established among other things, the qualitative analysis of the model to validate the results. Furthermore, the reproduction number (R0) was found to be less than unity (1), through the stability analysis. Additionally, finite different scheme was utilized in solving the differential equations of the model. MATLAB software was used for the numerical simulation to examine the effect of these control measures on the population density, findings from the graphical solutions depicts that these measures will aid in flattening the curve Cholera propagation in the population if properly implemented.

Keywords

• cholera, stability, endemic, control strategies, optimal control