<p>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.</p>

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

  • Guiyan Kou,
  • Yangjian Sun,
  • Qing Ge

摘要

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.