Propagation Phenomena for a Lotka–Volterra Cooperative Model with Degenerate Diffusion Under Climate Change

• Rui Yan ^[1] ; Guirong Liu ^[2] ; Yuzhe Qin ^[2] ; Yang Wang ^[2]
  1. [1] Shanxi University of Finance and Economics
  2. [2] Shanxi University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 4, 2024
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • This paper is concerned with a Lotka–Volterra cooperative model with degenerate diffusion under climate change. Firstly, by constructing the appropriate upper and lower solutions to overcome the influence of the degeneracy and nonautonomous terms, and applying the monotone iteration method, we prove the existence of forced traveling waves with any speed c > 0 at which the habitat edge is shifting. Then based on the new comparison theorem for degenerate diffusion systems, we obtain the global existence of Cα,β-solution to the initial value problem of this system via the compactness analysis. At the end of the paper, some numerical simulations are conducted.