Global results for a cholera model with imperfect vaccination

In this paper, we consider a cholera model with imperfect vaccination. We can calculate the infection threshold (i.e., the basic reproduction number R v ) for the cholera model. The disease-free equilibrium of the system is globally asymptotically stable when R v ≤ 1 . If R v > 1 , the disease persists and the unique endemic equilibrium is globally asymptotically stable in the interior of the feasible region under some conditions, which is obtained by compound matrices and geometric approaches. We also perform the effect of vaccination on the disease transmission and prevalence.