Journal
BULLETIN OF MATHEMATICAL BIOLOGY
Volume 69, Issue 2, Pages 731-745Publisher
SPRINGER
DOI: 10.1007/s11538-006-9149-x
Keywords
time delay; pulse vaccination; SEIRS epidemic model; global attractivity; permanence
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Pulse vaccination is an effective and important strategy for the elimination of infectious diseases. A delayed SEIRS epidemic model with pulse vaccination and varying total population size is proposed in this paper. We point out, if R* < 1, the infectious population disappear so the disease dies out, while if R (*;) > 1, the infectious population persist. Our results indicate that a long period of pulsing or a small pulse vaccination rate is sufficient condition for the permanence of the model.
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