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The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery

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  • Yongfeng Li
  • Dongliang Xie
  • Jing-an Cui

Abstract

A delay SEIRS model with pulse vaccination incorporating a general media coverage function and saturation recovery is investigated. Using the discrete dynamical system determined by the stroboscopic map, we obtain the existence of the disease-free periodic solution and its exact expression. Further, using the comparison theorem, we establish the sufficient conditions of global attractivity of the disease-free periodic solution. Moreover, we show that the disease is uniformly persistent if vaccination rate is less than . Finally, we discuss the effect of media coverage on controlling disease.

Suggested Citation

  • Yongfeng Li & Dongliang Xie & Jing-an Cui, 2014. "The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-7, March.
    • Handle: RePEc:hin:jnddns:426456
    DOI: 10.1155/2014/426456
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