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Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and Seasonality

Author

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  • Juping Zhang
  • Yun Li
  • Zhen Jin
  • Huaiping Zhu

Abstract

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.

Suggested Citation

  • Juping Zhang & Yun Li & Zhen Jin & Huaiping Zhu, 2019. "Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and Seasonality," Complexity, Hindawi, vol. 2019, pages 1-15, March.
    • Handle: RePEc:hin:complx:4161287
    DOI: 10.1155/2019/4161287
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    References listed on IDEAS

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    1. Xing, Yi & Song, Lipeng & Sun, Gui-Quan & Jin, Zhen & Zhang, Juan, 2017. "Assessing reappearance factors of H7N9 avian influenza in China," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 192-204.
    2. Tokiko Watanabe & Maki Kiso & Satoshi Fukuyama & Noriko Nakajima & Masaki Imai & Shinya Yamada & Shin Murakami & Seiya Yamayoshi & Kiyoko Iwatsuki-Horimoto & Yoshihiro Sakoda & Emi Takashita & Ryan Mc, 2013. "Characterization of H7N9 influenza A viruses isolated from humans," Nature, Nature, vol. 501(7468), pages 551-555, September.
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    Cited by:

    1. Ruiqing Shi & Ting Lu & Cuihong Wang, 2019. "Dynamic Analysis of a Fractional-Order Model for Hepatitis B Virus with Holling II Functional Response," Complexity, Hindawi, vol. 2019, pages 1-13, August.
    2. Shi, Ruiqing & Lu, Ting & Wang, Cuihong, 2021. "Dynamic analysis of a fractional-order model for HIV with drug-resistance and CTL immune response," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 509-536.

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