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    Title: On a free boundary problem for a two-species weak competition system
    Authors: Guo, Jong-Shenq;Wu, Chang-Hong
    Contributors: 淡江大學數學學系
    Keywords: Lotka–Volterra model;Free boundary;Spreading–vanishing dichotomy;Spreading speed
    Date: 2012-12
    Issue Date: 2013-05-22 14:19:33 (UTC+8)
    Publisher: New York: Springer New York LLC
    Abstract: We study a Lotka–Volterra type weak competition model with a free boundary in a one-dimensional habitat. The main objective is to understand the asymptotic behavior of two competing species spreading via a free boundary. We also provide some sufficient conditions for spreading success and spreading failure, respectively. Finally, when spreading successfully, we provide an estimate to show that the spreading speed (if exists) cannot be faster than the minimal speed of traveling wavefront solutions for the competition model on the whole real line without a free boundary.
    Relation: Journal of Dynamics and Differential Equations 24(4), pp.873–895
    DOI: 10.1007/s10884-012-9267-0
    Appears in Collections:[數學學系暨研究所] 期刊論文

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