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Psychological and behavioral effects in epidemiological model with imperfect vaccination compartment

The aim of this paper is to investigate the dynamic of two SEIVS models, which incorporate an imperfect vaccination compartment. In this paper, we focus on the psychological inhibition effect of vaccinated individuals and the efficacy of vaccine on the spread of disease. For the susceptible individuals, we consider the psychological inhibition effect through the nonmonotone incidence rate. We find the disease‐free and the disease persistent conditions. We also give some numerical simulations to demonstrate the effect of behavioral change of the vaccinated individuals and the efficiency of vaccine. Copyright © 2015 John Wiley & Sons, Ltd.