Tao Su, Guo-Bao Zhang
Abstract:
This article concerns the stability of traveling wavefronts for a
three-component Lotka-Volterra competition system on a lattice.
By means of the weighted energy method and the comparison principle,
it is proved that the traveling wavefronts with large speed are
exponentially asymptotically stable, when the initial perturbation
around the traveling wavefronts decays exponentially as
,
where
,
and
, but
the initial perturbation can be arbitrarily large on other locations.
Submitted September 8, 2017. Published March 1, 2018.
Math Subject Classifications: 34A33, 34K20, 92D25.
Key Words: Three-component competition system; lattice dynamical system;
traveling wavefronts; stability.
Show me the PDF file (237 KB), TEX file for this article.
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Tao Su College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China email: 970913788@qq.com |
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Guo-Bao Zhang College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China email: zhanggb2011@nwnu.edu.cn |
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