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 |
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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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| _version_ | 1849691357998743552 |
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| author | Yongfeng Li Dongliang Xie Jing-an Cui |
| author_facet | Yongfeng Li Dongliang Xie Jing-an Cui |
| author_sort | Yongfeng Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e829e5b0754540a9b38eaf288ae7be0d |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e829e5b0754540a9b38eaf288ae7be0d2025-08-20T03:21:03ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/426456426456The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation RecoveryYongfeng Li0Dongliang Xie1Jing-an Cui2Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, ChinaDepartment of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, ChinaSchool of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, ChinaA 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.http://dx.doi.org/10.1155/2014/426456 |
| spellingShingle | Yongfeng Li Dongliang Xie Jing-an Cui The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery Discrete Dynamics in Nature and Society |
| title | The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery |
| title_full | The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery |
| title_fullStr | The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery |
| title_full_unstemmed | The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery |
| title_short | The Effect of Impulsive Vaccination on Delayed SEIRS Epidemic Model Incorporating Saturation Recovery |
| title_sort | effect of impulsive vaccination on delayed seirs epidemic model incorporating saturation recovery |
| url | http://dx.doi.org/10.1155/2014/426456 |
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