Global stability and Sensitivity Analysis of Malaria, Dengue and Typhoid Triple Infection

Abstract

This study investigates the global stability of the endemic equilibrium point of triple co-infection of malaria, dengue, and typhoid. By using an appropriate Lyapunov function, the results show that the model is globally asymptotically stable. This implies that the diseases can be eradicated or kept at low levels, regardless of the population. Sensitivity analysis was also conducted to identify the most sensitive parameter. The results indicate that strategies to reduce malaria and dengue fever vectors should be prioritized to curb the spread of the diseases. Additionally, minimizing exposure to contaminated water and food, as well as reducing the discharge of typhoid bacteria into the environment, can help to reduce or curb the spread of typhoid in the environment.