Global dynamics of a general competition diffusion system in spatially heterogeneous environments

Qi Wang

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arXiv · 2102.08538

Global dynamics of a general competition diffusion system in spatially heterogeneous environments

Qi Wang

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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.

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Qi Wang. 2021-02-17. Global dynamics of a general competition diffusion system in spatially heterogeneous environments. https://arxiv.org/abs/2102.08538

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