Stability of traveling wavefronts for a three-component Lotka-Volterra competition system on a lattice
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Date
2018-03-01
Authors
Su, Tao
Zhang, Guo-Bao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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 j + ct → -∞, where j ∈ ℤ, t > 0 and c > 0, but the initial perturbation can be arbitrarily large on other locations.
Description
Keywords
Three-component competition system, Lattice dynamical system, Traveling wavefronts, Stability
Citation
Su, T., & Zhang, G. B. (2018). Stability of traveling wavefronts for a three-component Lotka-Volterra competition system on a lattice. <i>Electronic Journal of Differential Equations, 2018</i>(57), pp. 1-16.