Stability of traveling wavefronts for a three-component Lotka-Volterra competition system on a lattice
| dc.contributor.author | Su, Tao | |
| dc.contributor.author | Zhang, Guo-Bao | |
| dc.date.accessioned | 2022-01-10T14:46:52Z | |
| dc.date.available | 2022-01-10T14:46:52Z | |
| dc.date.issued | 2018-03-01 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15113 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Three-component competition system | |
| dc.subject | Lattice dynamical system | |
| dc.subject | Traveling wavefronts | |
| dc.subject | Stability | |
| dc.title | Stability of traveling wavefronts for a three-component Lotka-Volterra competition system on a lattice | |
| dc.type | Article |