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.

中文翻译：

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Lotka–Volterra竞争－扩散－对流模型中非均匀稳态解的全局稳定性

本文考虑了经典的两种种群Lotka–Volterra竞争–扩散–对流模型，其中扩散系数，对流系数，资源函数和竞争率在空间上都是异质的。通过引入与对流项相关的加权Lyapunov函数，研究了对流异质环境中非均匀稳态的全局稳定性。