AN SEIRS EPIDEMIC MODEL WITH TWO DELAYS AND PULSE VACCINATION

Jianjun JIAO;Lansun CHEN;Shaohong CAI

Journal of Systems Science & Complexity ›› 2008, Vol. 21 ›› Issue (2) : 217-225.

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Journal of Systems Science & Complexity ›› 2008, Vol. 21 ›› Issue (2) : 217-225.
article

AN SEIRS EPIDEMIC MODEL WITH TWO DELAYS AND PULSE VACCINATION

  • Jianjun JIAO(1)(2), Lansun CHEN(3), Shaohong CAI(4)
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Abstract

Pulse vaccination is an effective and important strategy to eradicate an infectious disease. The authors investigate an SEIRS epidemic model with two delays and pulse vaccination. By using the discrete dynamical system determined by troboscopic map, the authors obtain that the infectious population dies out if
RΔ<1, and the infectious population is uniformly persistent if RΔ>1. The results indicate that a short period of pulse vaccination or a large pulse vaccination rate is a sufficient condition to eradicate the disease.

Key words

Delay / global attractivity / persistence / pulse vaccination / SEIRS epidemic model.

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Jianjun JIAO , Lansun CHEN , Shaohong CAI. AN SEIRS EPIDEMIC MODEL WITH TWO DELAYS AND PULSE VACCINATION. Journal of Systems Science and Complexity, 2008, 21(2): 217-225
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