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The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery
oleh: Yongfeng Li, Dongliang Xie, Jing-an Cui
Format: | Article |
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Diterbitkan: | Hindawi Limited 2014-01-01 |
Deskripsi
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 θ*. Finally, we discuss the effect of media coverage on controlling disease.