Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion
A rigorous mathematical characterization for early-stage spatial and temporal patterns formation in a Leslie-Gower predator-prey model with cross diffusion is investigated. Given any general perturbation near an unstable constant equilibrium, we prove that its nonlinear evolution is dominated by the...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/854862 |
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| _version_ | 1832556209128865792 |
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| author | Lina Zhang Shengmao Fu |
| author_facet | Lina Zhang Shengmao Fu |
| author_sort | Lina Zhang |
| collection | DOAJ |
| description | A rigorous mathematical characterization for early-stage spatial and temporal patterns formation in a Leslie-Gower predator-prey model with cross diffusion is investigated. Given any general perturbation near an unstable constant equilibrium, we prove that its nonlinear evolution is dominated by the corresponding linear dynamics along a fixed finite number of the fastest growing modes. |
| format | Article |
| id | doaj-art-a727ef0e7c3a4044b10d1b981f0f501a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a727ef0e7c3a4044b10d1b981f0f501a2025-02-03T05:45:58ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/854862854862Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross DiffusionLina Zhang0Shengmao Fu1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaA rigorous mathematical characterization for early-stage spatial and temporal patterns formation in a Leslie-Gower predator-prey model with cross diffusion is investigated. Given any general perturbation near an unstable constant equilibrium, we prove that its nonlinear evolution is dominated by the corresponding linear dynamics along a fixed finite number of the fastest growing modes.http://dx.doi.org/10.1155/2013/854862 |
| spellingShingle | Lina Zhang Shengmao Fu Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion Abstract and Applied Analysis |
| title | Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion |
| title_full | Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion |
| title_fullStr | Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion |
| title_full_unstemmed | Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion |
| title_short | Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion |
| title_sort | nonlinear instability for a leslie gower predator prey model with cross diffusion |
| url | http://dx.doi.org/10.1155/2013/854862 |
| work_keys_str_mv | AT linazhang nonlinearinstabilityforalesliegowerpredatorpreymodelwithcrossdiffusion AT shengmaofu nonlinearinstabilityforalesliegowerpredatorpreymodelwithcrossdiffusion |