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The Minimal Speed of Traveling Fronts for the Lotka–Volterra Competition System

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An Erratum to this article was published on 12 November 2013

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.

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Authors and Affiliations

  1. Department of Mathematics, Tamkang University, Tamsui, Taipei, 25137, Taiwan

    Jong-Shenq Guo

  2. Wu Wen-Tsun Key Laboratory of Mathematics and Department of Mathematics, University of Science and Technology of China, Hefei, People’s Republic of China

    Xing Liang

Authors
  1. Jong-Shenq Guo
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  2. Xing Liang
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Correspondence to Xing Liang.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/s10884-013-9332-3.

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Guo, JS., Liang, X. The Minimal Speed of Traveling Fronts for the Lotka–Volterra Competition System. J Dyn Diff Equat 23, 353–363 (2011). https://doi.org/10.1007/s10884-011-9214-5

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  • DOI: https://doi.org/10.1007/s10884-011-9214-5

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