Speed Selection for a Lotka–Volterra Competitive System with Local vs. Nonlocal Diffusions

• Zheng-Jie Yang ^[1] ; Guo-Bao Zhang ^[1]
  1. [1] Northwest Normal University

     Northwest Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
• Idioma: inglés
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• Resumen

  • In this paper, we investigate the minimal wave speed selection mechanism for a Lotka–Volterra competitive system with local vs. nonlocal diffusions. By a change of variables, we transform the competitive system into cooperative system. Then we employ the upper and lower solutions method to study the minimal wave speed selection mechanism: linear or nonlinear. For the linear selection, we concentrate on constructing suitable upper solutions. For the nonlinear selection, we focus only on the construction of lower solutions.