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Global dynamics of a two-strain flu model with delay

Author

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  • Xu, Zhiting
  • Qu, Liangcheng
  • Huang, Yehui

Abstract

In this paper, we deal with the global dynamics of a two-strain flu model with delay. Using the method of Lyapunov functional, we show that if the basic reproduction number is less than one, then both strains die out; but when the number is larger than one, one or both of the strains become endemic. The main results are confirmed by some numerical simulations. The theoretical results obtained here provide some useful information on the impact of the vaccination rate of a single vaccine for one strain on the dynamics of the two strains.

Suggested Citation

  • Xu, Zhiting & Qu, Liangcheng & Huang, Yehui, 2016. "Global dynamics of a two-strain flu model with delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 124(C), pages 44-59.
    • Handle: RePEc:eee:matcom:v:124:y:2016:i:c:p:44-59
    DOI: 10.1016/j.matcom.2015.10.016
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    Cited by:

    1. Farah, El Mehdi & Amine, Saida & Allali, Karam, 2021. "Dynamics of a time-delayed two-strain epidemic model with general incidence rates," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    2. Chen, Zhenwu & Xu, Zhiting, 2019. "A delayed diffusive influenza model with two-strain and two vaccinations," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 439-453.
    3. Bilgen Kaymakamzade & Evren Hincal, 2018. "Two-strain epidemic model with two vaccinations and two time delayed," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(1), pages 695-709, December.

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