Stability of Traveling Wave Fronts for a Three Species Predator-Prey Model with Nonlocal Dispersals
In this paper, we consider a predator-prey model with nonlocal dispersals of two cooperative preys and one predator. We prove that the traveling wave fronts with the relatively large wave speed are exponentially stable as perturbation in some exponentially weighted spaces, when the difference betwee...
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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/10.1155/2019/8742958 |
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| _version_ | 1849414056697397248 |
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| author | Dongmei Yuan Yuzhen Bai |
| author_facet | Dongmei Yuan Yuzhen Bai |
| author_sort | Dongmei Yuan |
| collection | DOAJ |
| description | In this paper, we consider a predator-prey model with nonlocal dispersals of two cooperative preys and one predator. We prove that the traveling wave fronts with the relatively large wave speed are exponentially stable as perturbation in some exponentially weighted spaces, when the difference between initial data and traveling wave fronts decay exponentially at negative infinity, but in other locations, the initial data can be very large. The adopted method is to use the weighted energy method and the squeezing technique with some new flavors to handle the nonlocal dispersals. |
| format | Article |
| id | doaj-art-71bbc227f1414374875eb3b745c7e94c |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-71bbc227f1414374875eb3b745c7e94c2025-08-20T03:33:57ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/87429588742958Stability of Traveling Wave Fronts for a Three Species Predator-Prey Model with Nonlocal DispersalsDongmei Yuan0Yuzhen Bai1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaIn this paper, we consider a predator-prey model with nonlocal dispersals of two cooperative preys and one predator. We prove that the traveling wave fronts with the relatively large wave speed are exponentially stable as perturbation in some exponentially weighted spaces, when the difference between initial data and traveling wave fronts decay exponentially at negative infinity, but in other locations, the initial data can be very large. The adopted method is to use the weighted energy method and the squeezing technique with some new flavors to handle the nonlocal dispersals.http://dx.doi.org/10.1155/2019/8742958 |
| spellingShingle | Dongmei Yuan Yuzhen Bai Stability of Traveling Wave Fronts for a Three Species Predator-Prey Model with Nonlocal Dispersals Complexity |
| title | Stability of Traveling Wave Fronts for a Three Species Predator-Prey Model with Nonlocal Dispersals |
| title_full | Stability of Traveling Wave Fronts for a Three Species Predator-Prey Model with Nonlocal Dispersals |
| title_fullStr | Stability of Traveling Wave Fronts for a Three Species Predator-Prey Model with Nonlocal Dispersals |
| title_full_unstemmed | Stability of Traveling Wave Fronts for a Three Species Predator-Prey Model with Nonlocal Dispersals |
| title_short | Stability of Traveling Wave Fronts for a Three Species Predator-Prey Model with Nonlocal Dispersals |
| title_sort | stability of traveling wave fronts for a three species predator prey model with nonlocal dispersals |
| url | http://dx.doi.org/10.1155/2019/8742958 |
| work_keys_str_mv | AT dongmeiyuan stabilityoftravelingwavefrontsforathreespeciespredatorpreymodelwithnonlocaldispersals AT yuzhenbai stabilityoftravelingwavefrontsforathreespeciespredatorpreymodelwithnonlocaldispersals |