Dynamics Analysis of Avian Influenza A(H7N9) Epidemic Model
The avian influenza A(H7N9) virus has certain fatal effects on human. In this paper, a mathematical model describing the transmission dynamics of avian influenza A(H7N9) between human and poultry is investigated. The basic reproduction number of the model is obtained by applying the method of the ne...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/7485310 |
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| _version_ | 1850230531238658048 |
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| author | Yun Li Peng Qin Juping Zhang |
| author_facet | Yun Li Peng Qin Juping Zhang |
| author_sort | Yun Li |
| collection | DOAJ |
| description | The avian influenza A(H7N9) virus has certain fatal effects on human. In this paper, a mathematical model describing the transmission dynamics of avian influenza A(H7N9) between human and poultry is investigated. The basic reproduction number of the model is obtained by applying the method of the next generation matrix. Then the local and global stability of the equilibria are proven. At last, we use numerical simulations to verify the theoretical results. |
| format | Article |
| id | doaj-art-288c738e4f924735b7c8c8f22f32ecac |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-288c738e4f924735b7c8c8f22f32ecac2025-08-20T02:03:51ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/74853107485310Dynamics Analysis of Avian Influenza A(H7N9) Epidemic ModelYun Li0Peng Qin1Juping Zhang2School of Science, North University of China, Shanxi, Taiyuan 030051, ChinaSchool of Electrical and Control Engineering, North University of China, Shanxi, Taiyuan 030051, ChinaComplex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, ChinaThe avian influenza A(H7N9) virus has certain fatal effects on human. In this paper, a mathematical model describing the transmission dynamics of avian influenza A(H7N9) between human and poultry is investigated. The basic reproduction number of the model is obtained by applying the method of the next generation matrix. Then the local and global stability of the equilibria are proven. At last, we use numerical simulations to verify the theoretical results.http://dx.doi.org/10.1155/2018/7485310 |
| spellingShingle | Yun Li Peng Qin Juping Zhang Dynamics Analysis of Avian Influenza A(H7N9) Epidemic Model Discrete Dynamics in Nature and Society |
| title | Dynamics Analysis of Avian Influenza A(H7N9) Epidemic Model |
| title_full | Dynamics Analysis of Avian Influenza A(H7N9) Epidemic Model |
| title_fullStr | Dynamics Analysis of Avian Influenza A(H7N9) Epidemic Model |
| title_full_unstemmed | Dynamics Analysis of Avian Influenza A(H7N9) Epidemic Model |
| title_short | Dynamics Analysis of Avian Influenza A(H7N9) Epidemic Model |
| title_sort | dynamics analysis of avian influenza a h7n9 epidemic model |
| url | http://dx.doi.org/10.1155/2018/7485310 |
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