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<p>In this paper, we consider a Lotka-Volterra competition-diffusion system with resource-dependent dispersal. We study the linear v.s. global asymptotic stability of steady states. Furthermore, how the diffusion coefficients and the dispersal strategies of two competing species affect the stability of steady states are given. This paper is a further study of (Tang and Wang in J. Math. Biol. 86:23, <CitationRef CitationID="CR17">2023</CitationRef>).</p>

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The Effects of Diffusion Coefficients in a Two-Species Lotka-Volterra Competition System with Resource Dependent Dispersal

  • 期刊论文

  • 发表日期：

    2025年1月31日

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  • Qi Wang

摘要

In this paper, we consider a Lotka-Volterra competition-diffusion system with resource-dependent dispersal. We study the linear v.s. global asymptotic stability of steady states. Furthermore, how the diffusion coefficients and the dispersal strategies of two competing species affect the stability of steady states are given. This paper is a further study of (Tang and Wang in J. Math. Biol. 86:23, 2023).