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Global dynamics of a general competition diffusion system in spatially heterogeneous environments (2102.08538v2)
Published 17 Feb 2021 in math.AP
Abstract: In this paper, we study a diffusive Lotka-Volterra competition model under homogeneous Dirichlet boundary conditions. We shall discuss the effects of dispersal rate and spatial heterogeneity on population dynamics. More precisely, we establish the main results about the global asymptotic stability of semitrivial as well as coexistence steady states.