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A General Approach to the Asymptotic Behavior of Traveling Waves in a Class of Three-Component Lattice Dynamical Systems

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Abstract

In this paper, we develop a general approach to deal with the asymptotic behavior of traveling wave solutions in a class of three-component lattice dynamical systems. Then we demonstrate an application of these results to construct entire solutions which behave as two traveling wave fronts moving towards each other from both sides of x-axis for a three-species competition system with Lotka–Volterra type nonlinearity in a lattice.

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Acknowledgments

The author thanks the referee for a careful reading and useful suggestions. This work is partially supported by the National Science Council of Taiwan under the NSC 102-2115-M-024-001.

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  1. Department of Applied Mathematics, National University of Tainan, Tainan, 700, Taiwan

    Chang-Hong Wu

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  1. Chang-Hong Wu
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Correspondence to Chang-Hong Wu.

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Wu, CH. A General Approach to the Asymptotic Behavior of Traveling Waves in a Class of Three-Component Lattice Dynamical Systems. J Dyn Diff Equat 28, 317–338 (2016). https://doi.org/10.1007/s10884-016-9524-8

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  • DOI: https://doi.org/10.1007/s10884-016-9524-8

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