Stability of traveling wavefronts for a three-component Lotka-Volterra competition system on a lattice
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 stab...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/57/abstr.html |
| Summary: | 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
$j+ct \to -\infty$, where $j\in\mathbb{Z}$, $t>0$ and $c>0$, but
the initial perturbation can be arbitrarily large on other locations. |
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| ISSN: | 1072-6691 |