Stability of Traveling Waves to the Lotka-Volterra Competition Model
In this paper, the stability of traveling wave solutions to the Lotka-Volterra diffusive model is investigated. First, we convert the model into a cooperative system by a special transformation. The local and the global stability of the traveling wavefronts are studied in a weighted functional space...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/6569520 |
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| _version_ | 1832564065477591040 |
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| author | Ahmad Alhasanat Chunhua Ou |
| author_facet | Ahmad Alhasanat Chunhua Ou |
| author_sort | Ahmad Alhasanat |
| collection | DOAJ |
| description | In this paper, the stability of traveling wave solutions to the Lotka-Volterra diffusive model is investigated. First, we convert the model into a cooperative system by a special transformation. The local and the global stability of the traveling wavefronts are studied in a weighted functional space. For the global stability, comparison principle together with the squeezing technique is applied to derive the main results. |
| format | Article |
| id | doaj-art-8e026be461ce475ab2c8f83c043405c2 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8e026be461ce475ab2c8f83c043405c22025-02-03T01:11:58ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/65695206569520Stability of Traveling Waves to the Lotka-Volterra Competition ModelAhmad Alhasanat0Chunhua Ou1Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, A1C 5S7, CanadaDepartment of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, A1C 5S7, CanadaIn this paper, the stability of traveling wave solutions to the Lotka-Volterra diffusive model is investigated. First, we convert the model into a cooperative system by a special transformation. The local and the global stability of the traveling wavefronts are studied in a weighted functional space. For the global stability, comparison principle together with the squeezing technique is applied to derive the main results.http://dx.doi.org/10.1155/2019/6569520 |
| spellingShingle | Ahmad Alhasanat Chunhua Ou Stability of Traveling Waves to the Lotka-Volterra Competition Model Complexity |
| title | Stability of Traveling Waves to the Lotka-Volterra Competition Model |
| title_full | Stability of Traveling Waves to the Lotka-Volterra Competition Model |
| title_fullStr | Stability of Traveling Waves to the Lotka-Volterra Competition Model |
| title_full_unstemmed | Stability of Traveling Waves to the Lotka-Volterra Competition Model |
| title_short | Stability of Traveling Waves to the Lotka-Volterra Competition Model |
| title_sort | stability of traveling waves to the lotka volterra competition model |
| url | http://dx.doi.org/10.1155/2019/6569520 |
| work_keys_str_mv | AT ahmadalhasanat stabilityoftravelingwavestothelotkavolterracompetitionmodel AT chunhuaou stabilityoftravelingwavestothelotkavolterracompetitionmodel |