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

Yongfeng Li, Dongliang Xie and Jing-an Cui

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-7

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:426456

DOI: 10.1155/2014/426456

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