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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58174


    Title: The Minimal Speed of Traveling Fronts for the Lotka–Volterra Competition System
    Authors: Guo, Jong-shenq;Liang, Xing
    Contributors: 淡江大學數學學系
    Date: 2011-06
    Issue Date: 2011-09-30 07:57:34 (UTC+8)
    Publisher: New York: Springer New York LLC
    Abstract: We study the minimal speed for a two species competition system with monostable nonlinearity. We are interested in the linear determinacy for the minimal speed in the sense defined by (Lewis et al. J Math Biol 45:219–233, 2002). We provide more general cases for the linear determinacy than that of (Lewis et al. J Math Biol 45:219–233, 2002). For this, we study the minimal speed for the corresponding lattice dynamical system. Our approach gives one new way to study the traveling waves of the parabolic equations through its discretization which can be applied to other similar problems.
    Relation: Journal of Dynamics and Differential Equations 23(2), pp.353-363
    DOI: 10.1007/s10884-011-9214-5
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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