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• W1923031679 abstract "In the first part of this series of three papers, we investigate the combined effects of diffusion, spatial variation, and competition ability on the global dynamics of a classical Lotka-Volterra competition-diffusion system. We establish the main results that determine the global asymptotic stability of semitrivial as well as coexistence steady states. Hence a complete understanding of the change in dynamics is obtained immediately. Our results indicate/confirm that, when spatial heterogeneity is included in the model, “diffusion-driven exclusion” could take place when the diffusion rates and competition coefficients of both species are chosen appropriately.© 2016 Wiley Periodicals, Inc." @default.
• W1923031679 created "2016-06-24" @default.
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• W1923031679 date "2015-07-28" @default.
• W1923031679 modified "2023-09-30" @default.
• W1923031679 title "Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I" @default.
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• W1923031679 doi "https://doi.org/10.1002/cpa.21596" @default.
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