Mathematical model for prevention and control of cholera transmission in a variable population

In this paper, an extended SIRB deterministic epidemiological model for Cholera was developed and strictly analysed to ascertain the impact of immigration in cholera transmission assess suitability various control measures. The found have two equilibria, namely, disease-free equilibrium (DFE) a unique endemic (EE). local stability DFE EE were be dependent on certain threshold known as basic reproductive number, R0 (number secondary infections resulting from introduction single infected individual into population), that is stable when R0<1, whereas R0>1. Furthermore, we used Lyapunov function geometric approach respectively show are globally asymptotically will persist population Our fitted Uganda cases (1999–2015). best fit parameters then carry out numerical simulation model. Specifically, over long short cycle routes more effective than vaccination combating menace Uganda. Finally, effects validated via using estimated base line parameter values.