Mathematical Modelling of Cholera and typhoid co-infection transmission dynamics

Abstract

Typhoid and Cholera remains the most endemic diseases, and thus, of major public health concerns in tropical developing countries. In this study, we develop a deterministic compartmental mathematical model for assessing the effects of education campaigns, vaccination and treatment on controlling the transmission dynamics of typhoid and cholera in the community. We have shown that the disease free equilibrium state of the model is locally asymptotically stable if the basic reproduction number is less than unity. Careful analysis of the effective reproduction number has shown that, each of the intervention; education campaigns, vaccination or treatment has an effect in decreasing the transmission of typhoid and cholera in the community. Sensitivity analysis shows that, the most sensitive parameters are recovery rate for symptomatic infectious individuals, recruitment rate, vaccination rate, education campaign and transmission rate for carrier individuals. Both numerical and analytical results suggest that multiple control strategies are more effective than a single control strategy.