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Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay

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  • Dongmei Li
  • Chunyu Gui
  • Xuefeng Luo

Abstract

This paper aims to discuss the delay epidemic model with vertical transmission, constant input, and nonlinear incidence. Some sufficient conditions are given to guarantee the existence and global attractiveness of the infection-free periodic solution and the uniform persistence of the addressed model with time delay. Finally, a numerical example is given to demonstrate the effectiveness of the proposed results.

Suggested Citation

  • Dongmei Li & Chunyu Gui & Xuefeng Luo, 2013. "Impulsive Vaccination SEIR Model with Nonlinear Incidence Rate and Time Delay," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, December.
    • Handle: RePEc:hin:jnlmpe:818401
    DOI: 10.1155/2013/818401
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    Cited by:

    1. Chen, Zi-Yi & Kang, Yan-Mei, 2016. "The first passage time density of Ornstein–Uhlenbeck process with continuous and impulsive excitations," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 214-220.

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