Existence of traveling wavefront for discrete bistable competition model

Chin-Chin Wu

doi:10.3934/dcdsb.2011.16.973

Article Contents

2011, Volume 16, Issue 3: 973-984. Doi: 10.3934/dcdsb.2011.16.973

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Existence of traveling wavefront for discrete bistable competition model

Chin-Chin Wu^1,

1.
Department of Applied Mathematics, National Chung Hsing University, 250, Kuo Kuang Road, Taichung 402

Received: August 31, 2010

Revised: December 31, 2010

Published: September 2011

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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.

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Mathematics Subject Classification: Primary: 34K05, 34A34; Secondary: 34K60, 34E05.

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References

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