Invasion Dynamics of a Pioneer-Climax Interaction Model with Nonlocal Dispersal

• Haifeng Song ^[1] ; Yuxiang Zhang ^[1]
  1. [1] Tianjin University of Technology

     Tianjin University of Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 3, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We study the invasion dynamics of a pioneer-climax interaction model with nonlocal dispersal. For a range of model parameters in which the system is nonmonotone, we prove the existence of the invasion spreading speed of the climax species and establish appropriate conditions under which the speed is linearly selected. Moreover, the existence of traveling wave solutions is further determined by the upper-lower solution method and fixed point theorem. The results show that the spreading speed is coincident with the minimum wave speed of traveling waves provided the dispersal ability of the climax species is stronger than that of the pioneer species. Our results are new in estimating the spreading speed of the pioneer-climax model with nonlocal dispersal, and complement the previous result on the existence of traveling waves for the model with monotone assumptions.

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