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Psychological and behavioral effects in epidemiological model with imperfect vaccination compartment
Author(s) -
Cheng Yan,
Pan Qiuhui,
He Mingfeng
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3387
Subject(s) - imperfect , vaccination , compartment (ship) , disease , epidemic model , incidence (geometry) , vaccine efficacy , focus (optics) , mathematics , econometrics , medicine , immunology , environmental health , physics , population , philosophy , linguistics , oceanography , geometry , optics , geology
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.