Asymptotic stability in a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction in 2D
Abstract This paper deals with a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction under homogeneous Neumann boundary conditions. By providing appropriate conditions, the asymptotic stability of solution is investigated.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-11-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-024-01960-1 |
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| _version_ | 1846171714238545920 |
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| author | Zhangsheng Zhu |
| author_facet | Zhangsheng Zhu |
| author_sort | Zhangsheng Zhu |
| collection | DOAJ |
| description | Abstract This paper deals with a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction under homogeneous Neumann boundary conditions. By providing appropriate conditions, the asymptotic stability of solution is investigated. |
| format | Article |
| id | doaj-art-076a14c1960547a58917df1f1f241f82 |
| institution | Kabale University |
| issn | 1687-2770 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-076a14c1960547a58917df1f1f241f822024-11-10T12:35:17ZengSpringerOpenBoundary Value Problems1687-27702024-11-012024111610.1186/s13661-024-01960-1Asymptotic stability in a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction in 2DZhangsheng Zhu0School of Science, Jiujiang UniversityAbstract This paper deals with a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction under homogeneous Neumann boundary conditions. By providing appropriate conditions, the asymptotic stability of solution is investigated.https://doi.org/10.1186/s13661-024-01960-1Predator-preyChemotaxisAsymptotic behaviorPursuit-evasion interactionStabilization |
| spellingShingle | Zhangsheng Zhu Asymptotic stability in a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction in 2D Boundary Value Problems Predator-prey Chemotaxis Asymptotic behavior Pursuit-evasion interaction Stabilization |
| title | Asymptotic stability in a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction in 2D |
| title_full | Asymptotic stability in a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction in 2D |
| title_fullStr | Asymptotic stability in a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction in 2D |
| title_full_unstemmed | Asymptotic stability in a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction in 2D |
| title_short | Asymptotic stability in a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction in 2D |
| title_sort | asymptotic stability in a predator prey system with density dependent diffusion and indirect pursuit evasion interaction in 2d |
| topic | Predator-prey Chemotaxis Asymptotic behavior Pursuit-evasion interaction Stabilization |
| url | https://doi.org/10.1186/s13661-024-01960-1 |
| work_keys_str_mv | AT zhangshengzhu asymptoticstabilityinapredatorpreysystemwithdensitydependentdiffusionandindirectpursuitevasioninteractionin2d |