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Analysis of competitive infectious diseases with multiple strains

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  • Qiao, Jian-Qin
  • Li, Li

Abstract

As we all known, there are many kinds of strains for a disease. However, the transmission dynamics of such disease is far from being well understood. In this paper, we established a SIS multi-strain model on scale-free network and the dynamics of multi-strain disease was studied by mean-field method. It is proved that the disease-free equilibrium is globally asymptotically stable when the basic reproduction number R0 < 1. It is proved that the equilibrium point with the largest basic reproduction number is globally stable. Our results indicate that competitive exclusion principle also holds for the disease with multiple strains.

Suggested Citation

  • Qiao, Jian-Qin & Li, Li, 2017. "Analysis of competitive infectious diseases with multiple strains," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 215-221.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:215-221
    DOI: 10.1016/j.chaos.2017.08.017
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    References listed on IDEAS

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    1. Li, Li, 2015. "Bifurcation and chaos in a discrete physiological control system," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 397-404.
    2. Li, Li, 2015. "Patch invasion in a spatial epidemic model," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 342-349.
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    Cited by:

    1. Chen, Jiaqi & Gu, Changgui & Ruan, Zhongyuan & Tang, Ming, 2023. "Competition of SARS-CoV-2 variants on the pandemic transmission dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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