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    Title: Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type
    Authors: Hsu, Cheng-Hsiung;Yang, Ting-Hui
    Contributors: 淡江大學數學學系
    Keywords: Traveling Wave Solution;Delayed Lattice Differential Equations;Upper And Lower Solutions;Heteroclinic Solutions
    Date: 2010-07
    Issue Date: 2011-05-20 09:41:28 (UTC+8)
    Publisher: Springfield: American Institute of Mathematical Sciences
    Abstract: In this work we consider the existence of traveling plane wave solutions of systems of delayed lattice differential equations in competitive Lotka-Volterra type. Employing iterative method coupled with the explicit construction of upper and lower solutions in the theory of weak quasi-monotone dynamical systems, we obtain a speed, c *, and show the existence of traveling plane wave solutions connecting two different equilibria when the wave speeds are large than c *.
    Relation: Discrete and Continuous Dynamical Systems Series B 14(1), pp.111-128
    DOI: 10.3934/dcdsb.2010.14.111
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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