The Number of Isolated Periodic Traveling Waves in a Class of Single Species Model

• Guiyan Kou ^[1] ; Yangjian Sun ^[1] ; Qing Ge ^[2]
  1. [1] Shangrao Normal University

     Shangrao Normal University

     China

     
  2. [2] Guilin University of Electronic Technology

     Guilin University of Electronic Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 4, 2025
• Idioma: inglés
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• Resumen

  • This paper is dedicated to considering global isolated periodic traveling waves in a single population model described by a reaction-diffusion equation. From the corresponding planar traveling wave system, we use the Chebyshev criterion and prove that the maximum number of isolated periodic waves is 2 and can be reached.