Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination
We consider a nonautonomous SEIR endemic model with saturation incidence concerning pulse vaccination. By applying Floquet theory and the comparison theorem of impulsive differential equations, a threshold parameter which determines the extinction or persistence of the disease is presented. Finally,...
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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/10.1155/2014/262535 |
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| _version_ | 1832554966400630784 |
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| author | Mei Yan Zhongyi Xiang |
| author_facet | Mei Yan Zhongyi Xiang |
| author_sort | Mei Yan |
| collection | DOAJ |
| description | We consider a nonautonomous SEIR endemic model with saturation incidence concerning pulse vaccination. By applying Floquet theory and the comparison theorem of impulsive differential equations, a threshold parameter which determines the extinction or persistence of the disease is presented. Finally, numerical simulations are given to illustrate the main theoretical results and it shows that pulse vaccination plays a key role in the disease control. |
| format | Article |
| id | doaj-art-828f319505bd4b78b5f21498415ed8b4 |
| institution | Kabale University |
| 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-828f319505bd4b78b5f21498415ed8b42025-02-03T05:49:57ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/262535262535Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse VaccinationMei Yan0Zhongyi Xiang1Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Enshi, Hubei 445000, ChinaKey Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Enshi, Hubei 445000, ChinaWe consider a nonautonomous SEIR endemic model with saturation incidence concerning pulse vaccination. By applying Floquet theory and the comparison theorem of impulsive differential equations, a threshold parameter which determines the extinction or persistence of the disease is presented. Finally, numerical simulations are given to illustrate the main theoretical results and it shows that pulse vaccination plays a key role in the disease control.http://dx.doi.org/10.1155/2014/262535 |
| spellingShingle | Mei Yan Zhongyi Xiang Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination Discrete Dynamics in Nature and Society |
| title | Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination |
| title_full | Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination |
| title_fullStr | Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination |
| title_full_unstemmed | Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination |
| title_short | Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination |
| title_sort | dynamic behaviors of an seir epidemic model in a periodic environment with impulse vaccination |
| url | http://dx.doi.org/10.1155/2014/262535 |
| work_keys_str_mv | AT meiyan dynamicbehaviorsofanseirepidemicmodelinaperiodicenvironmentwithimpulsevaccination AT zhongyixiang dynamicbehaviorsofanseirepidemicmodelinaperiodicenvironmentwithimpulsevaccination |