Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate
Based on some well-known SIR models, a revised nonautonomous SIR epidemic model with distributed delay and density-dependent birth rate was considered. Applying some classical analysis techniques for ordinary differential equations and the method proposed by Wang (2002), the threshold value for the...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/350892 |
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| _version_ | 1832552010211131392 |
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| author | Li Yingke Chen Liang Wang Kai |
| author_facet | Li Yingke Chen Liang Wang Kai |
| author_sort | Li Yingke |
| collection | DOAJ |
| description | Based on some well-known SIR models, a revised nonautonomous SIR epidemic model with distributed delay and density-dependent birth rate was considered. Applying some classical analysis techniques for ordinary differential equations and the method proposed by Wang (2002), the threshold value for the permanence and extinction of the model was obtained. |
| format | Article |
| id | doaj-art-4edeb4c8178a402fa36da0be85850435 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4edeb4c8178a402fa36da0be858504352025-02-03T05:59:49ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/350892350892Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth RateLi Yingke0Chen Liang1Wang Kai2College of Mathematics and Physics, Xinjiang Agricultural University, Urumqi 830052, ChinaDepartment of Mathematics, Changji College, Changji 831100, ChinaDepartment of Medical Engineering and Technology, Xinjiang Medical University, Urumqi 830054, ChinaBased on some well-known SIR models, a revised nonautonomous SIR epidemic model with distributed delay and density-dependent birth rate was considered. Applying some classical analysis techniques for ordinary differential equations and the method proposed by Wang (2002), the threshold value for the permanence and extinction of the model was obtained.http://dx.doi.org/10.1155/2011/350892 |
| spellingShingle | Li Yingke Chen Liang Wang Kai Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate Discrete Dynamics in Nature and Society |
| title | Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate |
| title_full | Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate |
| title_fullStr | Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate |
| title_full_unstemmed | Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate |
| title_short | Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate |
| title_sort | permanence for a delayed nonautonomous sir epidemic model with density dependent birth rate |
| url | http://dx.doi.org/10.1155/2011/350892 |
| work_keys_str_mv | AT liyingke permanenceforadelayednonautonomoussirepidemicmodelwithdensitydependentbirthrate AT chenliang permanenceforadelayednonautonomoussirepidemicmodelwithdensitydependentbirthrate AT wangkai permanenceforadelayednonautonomoussirepidemicmodelwithdensitydependentbirthrate |