Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination
In this paper, we are interested in finding the periodic oscillation of seasonally forced SEIR models with pulse vaccination. Many infectious diseases show seasonal patterns of incidence. Pulse vaccination strategy is an effective tool to control the spread of these infectious diseases. Assuming tha...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/9381375 |
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| author | Lin Wang |
| author_facet | Lin Wang |
| author_sort | Lin Wang |
| collection | DOAJ |
| description | In this paper, we are interested in finding the periodic oscillation of seasonally forced SEIR models with pulse vaccination. Many infectious diseases show seasonal patterns of incidence. Pulse vaccination strategy is an effective tool to control the spread of these infectious diseases. Assuming that the seasonally dependent transmission rate is a T-periodic forcing, we obtain the existence of positive T-periodic solutions of seasonally forced SEIR models with pulse vaccination by Mawhin’s coincidence degree method. Some relevant numerical simulations are presented to illustrate the effectiveness of such pulse vaccination strategy. |
| format | Article |
| id | doaj-art-170c2df4cbd442d48b6d64cfd8e28a07 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-170c2df4cbd442d48b6d64cfd8e28a072025-02-03T01:04:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/93813759381375Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse VaccinationLin Wang0College of Mathematics and Statistics, Changchun University of Technology, 2055 Yanan Street, Changchun 130012, ChinaIn this paper, we are interested in finding the periodic oscillation of seasonally forced SEIR models with pulse vaccination. Many infectious diseases show seasonal patterns of incidence. Pulse vaccination strategy is an effective tool to control the spread of these infectious diseases. Assuming that the seasonally dependent transmission rate is a T-periodic forcing, we obtain the existence of positive T-periodic solutions of seasonally forced SEIR models with pulse vaccination by Mawhin’s coincidence degree method. Some relevant numerical simulations are presented to illustrate the effectiveness of such pulse vaccination strategy.http://dx.doi.org/10.1155/2020/9381375 |
| spellingShingle | Lin Wang Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination Discrete Dynamics in Nature and Society |
| title | Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination |
| title_full | Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination |
| title_fullStr | Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination |
| title_full_unstemmed | Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination |
| title_short | Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination |
| title_sort | existence of periodic solutions of seasonally forced seir models with pulse vaccination |
| url | http://dx.doi.org/10.1155/2020/9381375 |
| work_keys_str_mv | AT linwang existenceofperiodicsolutionsofseasonallyforcedseirmodelswithpulsevaccination |