A mathematical model analysis of the human melioidosis transmission dynamics with an asymptomatic case

Abstract

In this paper, we develop and examine a mathematical model of human melioidosis transmission with asymptomatic cases to describe the dynamics of the epidemic. The basic reproduction number (R0) of the model is obtained. Disease-free equilibrium of the model is proven to be globally asymptotically stable when R0 is less than the unity, while the endemic equilibrium of the model is shown to be locally asymptotically stable if R0 is greater than unity. Sensitivity analysis is performed to illustrate the effect of the model parameters influencing on the disease dynamics. Furthermore, numerical experiments of the model are conducted to validate the theoretical findings.

Keywords

• Melioidosis
• Burkholderia pseudomallei
• Asymptomatic
• Equilibria and stability
• Basic reproduction number
• Sensitivity analysis