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Indexed by:Journal Papers

Date of Publication:2015-12-01

Journal:MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Included Journals:SCIE、EI、Scopus

Volume:38

Issue:18,SI

Page Number:4729-4740

ISSN No.:0170-4214

Key Words:SEIVS epidemic model; psychological inhibition effect; nonmonotone function; pulse vaccination; efficacy of vaccine

Abstract: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 (C) 2015 John Wiley & Sons, Ltd.