Global Dynamics of a Lotka–Volterra Competition–Diffusion–Advection Model with Stage Structure

• Shuling Yan ^[1] ; Zengji Du ^[1]
  1. [1] Jiangsu Normal University

     Jiangsu Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
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• Resumen

  • In this paper, we study a classical two species stage structure Lotka–Volterra diffusion–advection system. By employing the Krein–Rutman theorem, analyzing the principal eigenvalue, and combining with the theory of monotone dynamical systems, a classification of the global dynamics is given for the weak competition case.