Existence of traveling wavefront for discrete bistable competition model

Pages: 973 - 984, Volume 16, Issue 3, October 2011

doi:10.3934/dcdsb.2011.16.973       Abstract        References        Full Text (333.4K)       Related Articles

Chin-Chin Wu - Department of Applied Mathematics, National Chung Hsing University, 250, Kuo Kuang Road, Taichung 402, Taiwan (email)

Abstract: We study traveling wavefront solutions for a two-component competition system on a one-dimensional lattice. We combine the monotonic iteration method with a truncation to obtain the existence of the traveling wavefront solution.

Keywords:  Lattice dynamical system, bistable, traveling wave, competition model.
Mathematics Subject Classification:  Primary: 34K05, 34A34; Secondary: 34K60, 34E05.

Received: September 2010;      Revised: January 2011;      Published: June 2011.

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