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Epidemic model with vaccinated age that exhibits backward bifurcation

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  • Yang, Junyuan
  • Zhang, Fengqin
  • Li, Xuezhi

Abstract

Vaccination of susceptibilities is included in a transmission model for a disease that confers immunity. In this paper, interplay of vaccination strategy together with vaccine efficacy and the vaccinated age is studied. In particular, vaccine efficacy can lead to a backward bifurcation. At the same time, we also discuss an abstract formulation of the problem, and establish the well-posedness of the model.

Suggested Citation

  • Yang, Junyuan & Zhang, Fengqin & Li, Xuezhi, 2009. "Epidemic model with vaccinated age that exhibits backward bifurcation," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1721-1731.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1721-1731
    DOI: 10.1016/j.chaos.2007.06.075
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    References listed on IDEAS

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    1. Li, Xiuying & Wang, Wendi, 2005. "A discrete epidemic model with stage structure," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 947-958.
    2. Li, Guihua & Wang, Wendi & Jin, Zhen, 2006. "Global stability of an SEIR epidemic model with constant immigration," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 1012-1019.
    3. Wang, Kaifa & Wang, Wendi & Liu, Xianning, 2006. "Viral infection model with periodic lytic immune response," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 90-99.
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