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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/58128

    Title: Wave propagation for a two-component lattice dynamical system arising in strong competition models
    Authors: Guo, Jong-Shenq;Wu, Chang-Hong
    Contributors: 淡江大學數學學系
    Keywords: Lattice dynamical system;Stationary solution;Propagation failure;Traveling wave;Wave speed
    Date: 2011-04
    Issue Date: 2011-09-29 15:30:09 (UTC+8)
    Publisher: Maryland Heights: Academic Press
    Abstract: We study a Lotka–Volterra type competition system with bistable nonlinearity in which the habitat is divided into discrete niches. We show that there exist non-monotone stationary solutions when the migration coefficients are sufficiently small. Also, we prove that the propagation failure phenomenon occurs. Finally, we focus on the traveling wave with nonzero wave speed. By investigating the asymptotic behavior of tails of wave profiles, we show that nonzero speed wave profiles are monotone. Moreover, the nonzero wave speed is unique in the sense that the wave cannot propagate with two different nonzero wave speeds.
    Relation: Journal of Differential Equations 250(8), pp.3504-3533
    DOI: 10.1016/j.jde.2010.12.004
    Appears in Collections:[數學學系暨研究所] 期刊論文

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