Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and Seasonality
H7N9 virus in the environment plays a role in the dynamics of avian influenza A (H7N9). A nationwide poultry vaccination with H7N9 vaccine program was implemented in China in October of 2017. To analyze the effect of vaccination and environmental virus on the development of avian influenza A (H7N9),...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/4161287 |
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| _version_ | 1832560374539354112 |
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| author | Juping Zhang Yun Li Zhen Jin Huaiping Zhu |
| author_facet | Juping Zhang Yun Li Zhen Jin Huaiping Zhu |
| author_sort | Juping Zhang |
| collection | DOAJ |
| description | H7N9 virus in the environment plays a role in the dynamics of avian influenza A (H7N9). A nationwide poultry vaccination with H7N9 vaccine program was implemented in China in October of 2017. To analyze the effect of vaccination and environmental virus on the development of avian influenza A (H7N9), we establish an avian influenza A (H7N9) transmission model with vaccination and seasonality among human, birds, and poultry. The basic reproduction number for the prevalence of avian influenza is obtained. The global stability of the disease-free equilibrium and the existence of positive periodic solution are proved by the comparison theorem and the asymptotic autonomous system theorem. Finally, we use numerical simulations to demonstrate the theoretical results. Simulation results indicate that the risk of H7N9 infection is higher in colder environment. Vaccinating poultry can significantly reduce human infection. |
| format | Article |
| id | doaj-art-38358394c4f6473ab6646f48896891a1 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-38358394c4f6473ab6646f48896891a12025-02-03T01:27:44ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/41612874161287Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and SeasonalityJuping Zhang0Yun Li1Zhen Jin2Huaiping Zhu3Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, ChinaSchool of Science, North University of China, Taiyuan, Shanxi 030051, ChinaComplex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, ChinaLAMPS and Department of Mathematics and Statistics, York University, Toronto, ON, M3J 1P3, CanadaH7N9 virus in the environment plays a role in the dynamics of avian influenza A (H7N9). A nationwide poultry vaccination with H7N9 vaccine program was implemented in China in October of 2017. To analyze the effect of vaccination and environmental virus on the development of avian influenza A (H7N9), we establish an avian influenza A (H7N9) transmission model with vaccination and seasonality among human, birds, and poultry. The basic reproduction number for the prevalence of avian influenza is obtained. The global stability of the disease-free equilibrium and the existence of positive periodic solution are proved by the comparison theorem and the asymptotic autonomous system theorem. Finally, we use numerical simulations to demonstrate the theoretical results. Simulation results indicate that the risk of H7N9 infection is higher in colder environment. Vaccinating poultry can significantly reduce human infection.http://dx.doi.org/10.1155/2019/4161287 |
| spellingShingle | Juping Zhang Yun Li Zhen Jin Huaiping Zhu Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and Seasonality Complexity |
| title | Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and Seasonality |
| title_full | Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and Seasonality |
| title_fullStr | Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and Seasonality |
| title_full_unstemmed | Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and Seasonality |
| title_short | Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and Seasonality |
| title_sort | dynamics analysis of an avian influenza a h7n9 epidemic model with vaccination and seasonality |
| url | http://dx.doi.org/10.1155/2019/4161287 |
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