Long-Time Behavior of the Lotka-Volterra Competition System with Nonlocal Dispersal

• Yu-Cai Hao ^[1] ; Guo-Bao Zhang ^[1] ; Ge Tian ^[1]
  1. [1] Northwest Normal University

     Northwest Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 4, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we study the long-time dynamical behavior of the solution for the corresponding initial value problem to a nonlocal dispersal competition system. When one species is an invader and the other is a native species, the discussions are conducted under two scenarios: (i) for the strong-strong competition case, under two different initial value conditions, the solutions of the corresponding initial value problem are proved to converge to the bistable traveling wave solutions as time tends to infinity; (ii) for the strong-weak competition, when the minimum wave speed cmin is nonlinearly selected, the solutions of the corresponding initial value problem are also demonstrated to converge to the monostable minimal traveling wave solutions as time tends to infinity. Our analysis heavily relies on the construction of new types of super- and subsolutions.

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