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Stability and bifurcation of an SIVS epidemic model with treatment and age of vaccination
X.-Z. Li, J. Wang,
Published in
2010
Volume: 34
   
Issue: 2
Pages: 437 - 450
Abstract
In this paper, we consider a two-dimensional SIS model with vaccination. It is assumed that vaccinated individuals become susceptible again when vaccine loses its protective properties with time. Here the rate at which vaccinated individual move to susceptible class again, depends upon vaccine age and hence it is assumed to be a variable. This SIVS model with treatment exhibits backward bifurcation under certain conditions on treatment which complicate the criteria for the success of the treatment by making it possible to have stable endemic states. We also show how the infectivity and the recovery function affect the existence of backward bifurcation. © 2009 Elsevier Inc. All rights reserved.
About the journal
JournalApplied Mathematical Modelling
ISSN0307904X