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Traveling Wave Solution with the Critical Speed for a Diffusive Epidemic System with Spatio-Temporal Delay

  • Zaili Zhen [1] ; Jingdong Wei [1] ; Jiangbo Zhou [1] ; Minjie Dong [2] ; Lixin Tian [3]
    1. [1] Jiangsu University

      Jiangsu University

      China

    2. [2] Nanjing Normal University & Nanjing Tech University
    3. [3] Jiangsu University & Nanjing Normal University
    Mostrar afiliaciones +
  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
  • Idioma: inglés
  • Enlaces
  • Resumen

    • The existence of a critical traveling wave solution for a reaction-diffusion epidemic system with spatio-temporal delay is established, whose existence of super-critical traveling wave solutions is obtained in [Z. Zhen et al., Math. Method. Appl. Sci.

      41 (2018) 7074-7098]. Meanwhile, the non-existence of traveling waves with nonpositive speeds are derived. Two open problems left in the paper [Z. Zhen et al., Math.

      Method. Appl. Sci. 41 (2018) 7074-7098] are solved. Moreover, some properties of super-critical traveling waves are improved.

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