The backward bifurcation of an age-structured cholera transmission model with saturation incidence

Abstract

In this paper, we consider an age-structured cholera model with saturation incidence, vaccination age of vaccinated individuals, infection age of infected individuals, and biological age of pathogens. First, the basic reproduction number is calculated. When the basic reproduction number is less than one, the disease-free equilibrium is locally stable. Further, the existence of backward bifurcation of the model is obtained. Numerically, we also compared the effects of various control measures, including basic control measures and vaccination, on the number of infected individuals.

Keywords

• age-structured cholera model
• saturation incidence
• vaccination age
• backward bifurcation
• control measure