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Threshold and stability results for an sirs epidemic model with a general periodic vaccination strategy

Journal of Biological Systems · • 2011
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Publication Information
Authors I A Moneim and D. Greenhalgh
Keywords Not Available
Journal Journal of Biological Systems ·
Publisher Not Available
Volume 13
Issue (02)
Pages DOI: 10.1142/S0218339005001446
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
An SIRS epidemic model with general periodic vaccination strategy is analyzed. This
periodic vaccination strategy is discussed first for an SIRS model with seasonal variation in
the contact rate of period T= 1 year. We start with the case where the vaccination strategy
and the contact rate have the same period and then discuss the case where the period of the
vaccination strategy is LT, where L is an integer. We investigate whether a periodic
vaccination strategy may force the epidemic dynamics to have periodic behavior.