Global stability of nonhomogeneous steady-state solution in a Lotka-Volterra competition-diffusion-advection model

摘要

A classical two species Lotka-Volterra competition-diffusion-advection model is considered in this paper, where the diffusion coefficients, advection coefficients, resource functions and competition rates are all spatially heterogeneous. The global stability of nonhomogeneous steady states in the advective heterogeneous environment is studied by introducing a weighted Lyapunov functional associated with advection term. (c) 2020 Elsevier Ltd. All rights reserved.