Abstract
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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Gao, S., Chen, L. & Teng, Z. Impulsive Vaccination of an SEIRS Model with Time Delay and Varying Total Population Size. Bull. Math. Biol. 69, 731–745 (2007). https://doi.org/10.1007/s11538-006-9149-x
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DOI: https://doi.org/10.1007/s11538-006-9149-x