The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery
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,...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/426456 |
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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |