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

Shuling Yan, Zengji Du

• 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.